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Finding the Third Proportional to 136,810 and 207,033

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Solution

The third proportional to 136,810 and 207,033 is: 313,300.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,810 : 207,033 = 207,033 : x
  2. Step 2: Convert to fraction form
    136,810/207,033 = 207,033/x
  3. Step 3: Cross multiply
    136,810x = 207,033 × 207,033
  4. Step 4: Simplify right side
    136,810x = 42,862,663,089
  5. Step 5: Solve for x
    x = 42,862,663,089/136,810
  6. Step 6: Final answer
    x = 313,300.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.