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Finding the Third Proportional to 99,128 and 206,461

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Solution

The third proportional to 99,128 and 206,461 is: 430,011.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,128 : 206,461 = 206,461 : x
  2. Step 2: Convert to fraction form
    99,128/206,461 = 206,461/x
  3. Step 3: Cross multiply
    99,128x = 206,461 × 206,461
  4. Step 4: Simplify right side
    99,128x = 42,626,144,521
  5. Step 5: Solve for x
    x = 42,626,144,521/99,128
  6. Step 6: Final answer
    x = 430,011.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.