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Finding the Third Proportional to 209,160 and 314,217

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Solution

The third proportional to 209,160 and 314,217 is: 472,042.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,160 : 314,217 = 314,217 : x
  2. Step 2: Convert to fraction form
    209,160/314,217 = 314,217/x
  3. Step 3: Cross multiply
    209,160x = 314,217 × 314,217
  4. Step 4: Simplify right side
    209,160x = 98,732,323,089
  5. Step 5: Solve for x
    x = 98,732,323,089/209,160
  6. Step 6: Final answer
    x = 472,042.09

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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.