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Finding the Third Proportional to 286,902 and 421,605

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Solution

The third proportional to 286,902 and 421,605 is: 619,552.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,902 : 421,605 = 421,605 : x
  2. Step 2: Convert to fraction form
    286,902/421,605 = 421,605/x
  3. Step 3: Cross multiply
    286,902x = 421,605 × 421,605
  4. Step 4: Simplify right side
    286,902x = 177,750,776,025
  5. Step 5: Solve for x
    x = 177,750,776,025/286,902
  6. Step 6: Final answer
    x = 619,552.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.