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Finding the Third Proportional to 602,657 and 818,480

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Solution

The third proportional to 602,657 and 818,480 is: 1,111,593.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,657 : 818,480 = 818,480 : x
  2. Step 2: Convert to fraction form
    602,657/818,480 = 818,480/x
  3. Step 3: Cross multiply
    602,657x = 818,480 × 818,480
  4. Step 4: Simplify right side
    602,657x = 669,909,510,400
  5. Step 5: Solve for x
    x = 669,909,510,400/602,657
  6. Step 6: Final answer
    x = 1,111,593.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.