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Finding the Third Proportional to 402,220 and 591,017

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Solution

The third proportional to 402,220 and 591,017 is: 868,432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,220 : 591,017 = 591,017 : x
  2. Step 2: Convert to fraction form
    402,220/591,017 = 591,017/x
  3. Step 3: Cross multiply
    402,220x = 591,017 × 591,017
  4. Step 4: Simplify right side
    402,220x = 349,301,094,289
  5. Step 5: Solve for x
    x = 349,301,094,289/402,220
  6. Step 6: Final answer
    x = 868,432.93

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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.