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Finding the Third Proportional to 210,855 and 337,239

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Solution

The third proportional to 210,855 and 337,239 is: 539,376.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,855 : 337,239 = 337,239 : x
  2. Step 2: Convert to fraction form
    210,855/337,239 = 337,239/x
  3. Step 3: Cross multiply
    210,855x = 337,239 × 337,239
  4. Step 4: Simplify right side
    210,855x = 113,730,143,121
  5. Step 5: Solve for x
    x = 113,730,143,121/210,855
  6. Step 6: Final answer
    x = 539,376.08

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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.