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Finding the Third Proportional to 172,609 and 233,209

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Solution

The third proportional to 172,609 and 233,209 is: 315,084.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,609 : 233,209 = 233,209 : x
  2. Step 2: Convert to fraction form
    172,609/233,209 = 233,209/x
  3. Step 3: Cross multiply
    172,609x = 233,209 × 233,209
  4. Step 4: Simplify right side
    172,609x = 54,386,437,681
  5. Step 5: Solve for x
    x = 54,386,437,681/172,609
  6. Step 6: Final answer
    x = 315,084.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.