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Finding the Third Proportional to 517,502 and 785,007

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Solution

The third proportional to 517,502 and 785,007 is: 1,190,789.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,502 : 785,007 = 785,007 : x
  2. Step 2: Convert to fraction form
    517,502/785,007 = 785,007/x
  3. Step 3: Cross multiply
    517,502x = 785,007 × 785,007
  4. Step 4: Simplify right side
    517,502x = 616,235,990,049
  5. Step 5: Solve for x
    x = 616,235,990,049/517,502
  6. Step 6: Final answer
    x = 1,190,789.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.