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Finding the Third Proportional to 210,870 and 337,257

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Solution

The third proportional to 210,870 and 337,257 is: 539,395.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,870 : 337,257 = 337,257 : x
  2. Step 2: Convert to fraction form
    210,870/337,257 = 337,257/x
  3. Step 3: Cross multiply
    210,870x = 337,257 × 337,257
  4. Step 4: Simplify right side
    210,870x = 113,742,284,049
  5. Step 5: Solve for x
    x = 113,742,284,049/210,870
  6. Step 6: Final answer
    x = 539,395.29

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.