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Finding the Third Proportional to 502,200 and 783,756

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Solution

The third proportional to 502,200 and 783,756 is: 1,223,165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,200 : 783,756 = 783,756 : x
  2. Step 2: Convert to fraction form
    502,200/783,756 = 783,756/x
  3. Step 3: Cross multiply
    502,200x = 783,756 × 783,756
  4. Step 4: Simplify right side
    502,200x = 614,273,467,536
  5. Step 5: Solve for x
    x = 614,273,467,536/502,200
  6. Step 6: Final answer
    x = 1,223,165.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.