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Finding the Third Proportional to 15,688 and 34,535

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Solution

The third proportional to 15,688 and 34,535 is: 76,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,688 : 34,535 = 34,535 : x
  2. Step 2: Convert to fraction form
    15,688/34,535 = 34,535/x
  3. Step 3: Cross multiply
    15,688x = 34,535 × 34,535
  4. Step 4: Simplify right side
    15,688x = 1,192,666,225
  5. Step 5: Solve for x
    x = 1,192,666,225/15,688
  6. Step 6: Final answer
    x = 76,024.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.