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Finding the Third Proportional to 145,217.81 and 313,378.88

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Solution

The third proportional to 145,217.81 and 313,378.88 is: 676,269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,217.81 : 313,378.88 = 313,378.88 : x
  2. Step 2: Convert to fraction form
    145,217.81/313,378.88 = 313,378.88/x
  3. Step 3: Cross multiply
    145,217.81x = 313,378.88 × 313,378.88
  4. Step 4: Simplify right side
    145,217.81x = 98,206,319,296.27
  5. Step 5: Solve for x
    x = 98,206,319,296.27/145,217.81
  6. Step 6: Final answer
    x = 676,269.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.