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Finding the Third Proportional to 316,681 and 491,421

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Solution

The third proportional to 316,681 and 491,421 is: 762,580.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,681 : 491,421 = 491,421 : x
  2. Step 2: Convert to fraction form
    316,681/491,421 = 491,421/x
  3. Step 3: Cross multiply
    316,681x = 491,421 × 491,421
  4. Step 4: Simplify right side
    316,681x = 241,494,599,241
  5. Step 5: Solve for x
    x = 241,494,599,241/316,681
  6. Step 6: Final answer
    x = 762,580.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.