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Finding the Third Proportional to 138,222 and 302,730

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Solution

The third proportional to 138,222 and 302,730 is: 663,030.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,222 : 302,730 = 302,730 : x
  2. Step 2: Convert to fraction form
    138,222/302,730 = 302,730/x
  3. Step 3: Cross multiply
    138,222x = 302,730 × 302,730
  4. Step 4: Simplify right side
    138,222x = 91,645,452,900
  5. Step 5: Solve for x
    x = 91,645,452,900/138,222
  6. Step 6: Final answer
    x = 663,030.87

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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.