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Finding the Third Proportional to 145,663.31 and 317,805.19

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Solution

The third proportional to 145,663.31 and 317,805.19 is: 693,380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,663.31 : 317,805.19 = 317,805.19 : x
  2. Step 2: Convert to fraction form
    145,663.31/317,805.19 = 317,805.19/x
  3. Step 3: Cross multiply
    145,663.31x = 317,805.19 × 317,805.19
  4. Step 4: Simplify right side
    145,663.31x = 101,000,137,201.91
  5. Step 5: Solve for x
    x = 101,000,137,201.91/145,663.31
  6. Step 6: Final answer
    x = 693,380.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.