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Finding the Third Proportional to 210,681 and 391,473

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Solution

The third proportional to 210,681 and 391,473 is: 727,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,681 : 391,473 = 391,473 : x
  2. Step 2: Convert to fraction form
    210,681/391,473 = 391,473/x
  3. Step 3: Cross multiply
    210,681x = 391,473 × 391,473
  4. Step 4: Simplify right side
    210,681x = 153,251,109,729
  5. Step 5: Solve for x
    x = 153,251,109,729/210,681
  6. Step 6: Final answer
    x = 727,408.31

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.