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Finding the Third Proportional to 148,348.13 and 318,148.31

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Solution

The third proportional to 148,348.13 and 318,148.31 is: 682,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,348.13 : 318,148.31 = 318,148.31 : x
  2. Step 2: Convert to fraction form
    148,348.13/318,148.31 = 318,148.31/x
  3. Step 3: Cross multiply
    148,348.13x = 318,148.31 × 318,148.31
  4. Step 4: Simplify right side
    148,348.13x = 101,218,348,746.60
  5. Step 5: Solve for x
    x = 101,218,348,746.60/148,348.13
  6. Step 6: Final answer
    x = 682,302.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.