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Finding the Third Proportional to 387,049,023,040 and 538,160,728,926

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Solution

The third proportional to 387,049,023,040 and 538,160,728,926 is: 748,269,477,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,049,023,040 : 538,160,728,926 = 538,160,728,926 : x
  2. Step 2: Convert to fraction form
    387,049,023,040/538,160,728,926 = 538,160,728,926/x
  3. Step 3: Cross multiply
    387,049,023,040x = 538,160,728,926 × 538,160,728,926
  4. Step 4: Simplify right side
    387,049,023,040x = 289,616,970,158,163,657,490,432
  5. Step 5: Solve for x
    x = 289,616,970,158,163,657,490,432/387,049,023,040
  6. Step 6: Final answer
    x = 748,269,477,296.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.