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Finding the Third Proportional to 430,708 and 641,853

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Solution

The third proportional to 430,708 and 641,853 is: 956,507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,708 : 641,853 = 641,853 : x
  2. Step 2: Convert to fraction form
    430,708/641,853 = 641,853/x
  3. Step 3: Cross multiply
    430,708x = 641,853 × 641,853
  4. Step 4: Simplify right side
    430,708x = 411,975,273,609
  5. Step 5: Solve for x
    x = 411,975,273,609/430,708
  6. Step 6: Final answer
    x = 956,507.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.