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Finding the Third Proportional to 316,668 and 473,421

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Solution

The third proportional to 316,668 and 473,421 is: 707,767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,668 : 473,421 = 473,421 : x
  2. Step 2: Convert to fraction form
    316,668/473,421 = 473,421/x
  3. Step 3: Cross multiply
    316,668x = 473,421 × 473,421
  4. Step 4: Simplify right side
    316,668x = 224,127,443,241
  5. Step 5: Solve for x
    x = 224,127,443,241/316,668
  6. Step 6: Final answer
    x = 707,767.89

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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.