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Finding the Third Proportional to 402,154.88 and 622,123.88

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Solution

The third proportional to 402,154.88 and 622,123.88 is: 962,410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,154.88 : 622,123.88 = 622,123.88 : x
  2. Step 2: Convert to fraction form
    402,154.88/622,123.88 = 622,123.88/x
  3. Step 3: Cross multiply
    402,154.88x = 622,123.88 × 622,123.88
  4. Step 4: Simplify right side
    402,154.88x = 387,038,115,845.02
  5. Step 5: Solve for x
    x = 387,038,115,845.02/402,154.88
  6. Step 6: Final answer
    x = 962,410.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.