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Finding the Third Proportional to 317,206.13 and 490,951.13

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Solution

The third proportional to 317,206.13 and 490,951.13 is: 759,862.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,206.13 : 490,951.13 = 490,951.13 : x
  2. Step 2: Convert to fraction form
    317,206.13/490,951.13 = 490,951.13/x
  3. Step 3: Cross multiply
    317,206.13x = 490,951.13 × 490,951.13
  4. Step 4: Simplify right side
    317,206.13x = 241,033,007,138.77
  5. Step 5: Solve for x
    x = 241,033,007,138.77/317,206.13
  6. Step 6: Final answer
    x = 759,862.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.