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Finding the Third Proportional to 130,413 and 285,733

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Solution

The third proportional to 130,413 and 285,733 is: 626,036.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,413 : 285,733 = 285,733 : x
  2. Step 2: Convert to fraction form
    130,413/285,733 = 285,733/x
  3. Step 3: Cross multiply
    130,413x = 285,733 × 285,733
  4. Step 4: Simplify right side
    130,413x = 81,643,347,289
  5. Step 5: Solve for x
    x = 81,643,347,289/130,413
  6. Step 6: Final answer
    x = 626,036.88

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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.