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Finding the Third Proportional to 138,774.50 and 288,457

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Solution

The third proportional to 138,774.50 and 288,457 is: 599,587.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,774.50 : 288,457 = 288,457 : x
  2. Step 2: Convert to fraction form
    138,774.50/288,457 = 288,457/x
  3. Step 3: Cross multiply
    138,774.50x = 288,457 × 288,457
  4. Step 4: Simplify right side
    138,774.50x = 83,207,440,849
  5. Step 5: Solve for x
    x = 83,207,440,849/138,774.50
  6. Step 6: Final answer
    x = 599,587.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.