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Finding the Third Proportional to 402,218 and 591,014

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Solution

The third proportional to 402,218 and 591,014 is: 868,428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,218 : 591,014 = 591,014 : x
  2. Step 2: Convert to fraction form
    402,218/591,014 = 591,014/x
  3. Step 3: Cross multiply
    402,218x = 591,014 × 591,014
  4. Step 4: Simplify right side
    402,218x = 349,297,548,196
  5. Step 5: Solve for x
    x = 349,297,548,196/402,218
  6. Step 6: Final answer
    x = 868,428.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.