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Finding the Third Proportional to 326,489 and 462,139

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Solution

The third proportional to 326,489 and 462,139 is: 654,149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,489 : 462,139 = 462,139 : x
  2. Step 2: Convert to fraction form
    326,489/462,139 = 462,139/x
  3. Step 3: Cross multiply
    326,489x = 462,139 × 462,139
  4. Step 4: Simplify right side
    326,489x = 213,572,455,321
  5. Step 5: Solve for x
    x = 213,572,455,321/326,489
  6. Step 6: Final answer
    x = 654,149.01

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.