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Finding the Third Proportional to 130,744 and 207,144

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Solution

The third proportional to 130,744 and 207,144 is: 328,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,744 : 207,144 = 207,144 : x
  2. Step 2: Convert to fraction form
    130,744/207,144 = 207,144/x
  3. Step 3: Cross multiply
    130,744x = 207,144 × 207,144
  4. Step 4: Simplify right side
    130,744x = 42,908,636,736
  5. Step 5: Solve for x
    x = 42,908,636,736/130,744
  6. Step 6: Final answer
    x = 328,188.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.