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Finding the Third Proportional to 130,829 and 191,569

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Solution

The third proportional to 130,829 and 191,569 is: 280,508.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,829 : 191,569 = 191,569 : x
  2. Step 2: Convert to fraction form
    130,829/191,569 = 191,569/x
  3. Step 3: Cross multiply
    130,829x = 191,569 × 191,569
  4. Step 4: Simplify right side
    130,829x = 36,698,681,761
  5. Step 5: Solve for x
    x = 36,698,681,761/130,829
  6. Step 6: Final answer
    x = 280,508.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.