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Finding the Third Proportional to 747,816 and 1,121,442

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Solution

The third proportional to 747,816 and 1,121,442 is: 1,681,740.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,816 : 1,121,442 = 1,121,442 : x
  2. Step 2: Convert to fraction form
    747,816/1,121,442 = 1,121,442/x
  3. Step 3: Cross multiply
    747,816x = 1,121,442 × 1,121,442
  4. Step 4: Simplify right side
    747,816x = 1,257,632,159,364
  5. Step 5: Solve for x
    x = 1,257,632,159,364/747,816
  6. Step 6: Final answer
    x = 1,681,740.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.