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Finding the Third Proportional to 130,836 and 207,513

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Solution

The third proportional to 130,836 and 207,513 is: 329,126.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,836 : 207,513 = 207,513 : x
  2. Step 2: Convert to fraction form
    130,836/207,513 = 207,513/x
  3. Step 3: Cross multiply
    130,836x = 207,513 × 207,513
  4. Step 4: Simplify right side
    130,836x = 43,061,645,169
  5. Step 5: Solve for x
    x = 43,061,645,169/130,836
  6. Step 6: Final answer
    x = 329,126.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.