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Finding the Third Proportional to 387,049,023,040 and 538,160,728,925

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Solution

The third proportional to 387,049,023,040 and 538,160,728,925 is: 748,269,477,293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,049,023,040 : 538,160,728,925 = 538,160,728,925 : x
  2. Step 2: Convert to fraction form
    387,049,023,040/538,160,728,925 = 538,160,728,925/x
  3. Step 3: Cross multiply
    387,049,023,040x = 538,160,728,925 × 538,160,728,925
  4. Step 4: Simplify right side
    387,049,023,040x = 289,616,970,157,087,331,975,168
  5. Step 5: Solve for x
    x = 289,616,970,157,087,331,975,168/387,049,023,040
  6. Step 6: Final answer
    x = 748,269,477,293.47

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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.