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Finding the Third Proportional to 423,684 and 660,528

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Solution

The third proportional to 423,684 and 660,528 is: 1,029,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,684 : 660,528 = 660,528 : x
  2. Step 2: Convert to fraction form
    423,684/660,528 = 660,528/x
  3. Step 3: Cross multiply
    423,684x = 660,528 × 660,528
  4. Step 4: Simplify right side
    423,684x = 436,297,238,784
  5. Step 5: Solve for x
    x = 436,297,238,784/423,684
  6. Step 6: Final answer
    x = 1,029,770.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.