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Finding the Third Proportional to 434,729 and 665,060

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Solution

The third proportional to 434,729 and 665,060 is: 1,017,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,729 : 665,060 = 665,060 : x
  2. Step 2: Convert to fraction form
    434,729/665,060 = 665,060/x
  3. Step 3: Cross multiply
    434,729x = 665,060 × 665,060
  4. Step 4: Simplify right side
    434,729x = 442,304,803,600
  5. Step 5: Solve for x
    x = 442,304,803,600/434,729
  6. Step 6: Final answer
    x = 1,017,426.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.