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Finding the Third Proportional to 435,630 and 653,418

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Solution

The third proportional to 435,630 and 653,418 is: 980,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,630 : 653,418 = 653,418 : x
  2. Step 2: Convert to fraction form
    435,630/653,418 = 653,418/x
  3. Step 3: Cross multiply
    435,630x = 653,418 × 653,418
  4. Step 4: Simplify right side
    435,630x = 426,955,082,724
  5. Step 5: Solve for x
    x = 426,955,082,724/435,630
  6. Step 6: Final answer
    x = 980,086.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.