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Finding the Third Proportional to 747,405 and 1,160,489

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Solution

The third proportional to 747,405 and 1,160,489 is: 1,801,880.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,405 : 1,160,489 = 1,160,489 : x
  2. Step 2: Convert to fraction form
    747,405/1,160,489 = 1,160,489/x
  3. Step 3: Cross multiply
    747,405x = 1,160,489 × 1,160,489
  4. Step 4: Simplify right side
    747,405x = 1,346,734,719,121
  5. Step 5: Solve for x
    x = 1,346,734,719,121/747,405
  6. Step 6: Final answer
    x = 1,801,880.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.