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Finding the Third Proportional to 782,552 and 1,048,197

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Solution

The third proportional to 782,552 and 1,048,197 is: 1,404,017.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,552 : 1,048,197 = 1,048,197 : x
  2. Step 2: Convert to fraction form
    782,552/1,048,197 = 1,048,197/x
  3. Step 3: Cross multiply
    782,552x = 1,048,197 × 1,048,197
  4. Step 4: Simplify right side
    782,552x = 1,098,716,950,809
  5. Step 5: Solve for x
    x = 1,098,716,950,809/782,552
  6. Step 6: Final answer
    x = 1,404,017.82

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.