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Finding the Third Proportional to 71,475 and 136,470

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Solution

The third proportional to 71,475 and 136,470 is: 260,567.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,475 : 136,470 = 136,470 : x
  2. Step 2: Convert to fraction form
    71,475/136,470 = 136,470/x
  3. Step 3: Cross multiply
    71,475x = 136,470 × 136,470
  4. Step 4: Simplify right side
    71,475x = 18,624,060,900
  5. Step 5: Solve for x
    x = 18,624,060,900/71,475
  6. Step 6: Final answer
    x = 260,567.48

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.