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Finding the Third Proportional to 130,412 and 285,731

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Solution

The third proportional to 130,412 and 285,731 is: 626,032.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,412 : 285,731 = 285,731 : x
  2. Step 2: Convert to fraction form
    130,412/285,731 = 285,731/x
  3. Step 3: Cross multiply
    130,412x = 285,731 × 285,731
  4. Step 4: Simplify right side
    130,412x = 81,642,204,361
  5. Step 5: Solve for x
    x = 81,642,204,361/130,412
  6. Step 6: Final answer
    x = 626,032.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.