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Finding the Third Proportional to 56,781,810 and 123,528,138.75

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Solution

The third proportional to 56,781,810 and 123,528,138.75 is: 268,733,967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,781,810 : 123,528,138.75 = 123,528,138.75 : x
  2. Step 2: Convert to fraction form
    56,781,810/123,528,138.75 = 123,528,138.75/x
  3. Step 3: Cross multiply
    56,781,810x = 123,528,138.75 × 123,528,138.75
  4. Step 4: Simplify right side
    56,781,810x = 15,259,201,063,039,252
  5. Step 5: Solve for x
    x = 15,259,201,063,039,252/56,781,810
  6. Step 6: Final answer
    x = 268,733,967.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.