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Finding the Third Proportional to 308,613 and 662,730

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Solution

The third proportional to 308,613 and 662,730 is: 1,423,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,613 : 662,730 = 662,730 : x
  2. Step 2: Convert to fraction form
    308,613/662,730 = 662,730/x
  3. Step 3: Cross multiply
    308,613x = 662,730 × 662,730
  4. Step 4: Simplify right side
    308,613x = 439,211,052,900
  5. Step 5: Solve for x
    x = 439,211,052,900/308,613
  6. Step 6: Final answer
    x = 1,423,177.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.