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Finding the Third Proportional to 138,862 and 303,572

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Solution

The third proportional to 138,862 and 303,572 is: 663,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,862 : 303,572 = 303,572 : x
  2. Step 2: Convert to fraction form
    138,862/303,572 = 303,572/x
  3. Step 3: Cross multiply
    138,862x = 303,572 × 303,572
  4. Step 4: Simplify right side
    138,862x = 92,155,959,184
  5. Step 5: Solve for x
    x = 92,155,959,184/138,862
  6. Step 6: Final answer
    x = 663,651.39

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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.