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Finding the Third Proportional to 317,818.50 and 686,053.50

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Solution

The third proportional to 317,818.50 and 686,053.50 is: 1,480,937.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,818.50 : 686,053.50 = 686,053.50 : x
  2. Step 2: Convert to fraction form
    317,818.50/686,053.50 = 686,053.50/x
  3. Step 3: Cross multiply
    317,818.50x = 686,053.50 × 686,053.50
  4. Step 4: Simplify right side
    317,818.50x = 470,669,404,862.25
  5. Step 5: Solve for x
    x = 470,669,404,862.25/317,818.50
  6. Step 6: Final answer
    x = 1,480,937.72

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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.