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Finding the Third Proportional to 123,486,480 and 268,495,491

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Solution

The third proportional to 123,486,480 and 268,495,491 is: 583,787,218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,486,480 : 268,495,491 = 268,495,491 : x
  2. Step 2: Convert to fraction form
    123,486,480/268,495,491 = 268,495,491/x
  3. Step 3: Cross multiply
    123,486,480x = 268,495,491 × 268,495,491
  4. Step 4: Simplify right side
    123,486,480x = 72,089,828,687,331,088
  5. Step 5: Solve for x
    x = 72,089,828,687,331,088/123,486,480
  6. Step 6: Final answer
    x = 583,787,218.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.