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Finding the Third Proportional to 730,986 and 1,129,680

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Solution

The third proportional to 730,986 and 1,129,680 is: 1,745,829.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,986 : 1,129,680 = 1,129,680 : x
  2. Step 2: Convert to fraction form
    730,986/1,129,680 = 1,129,680/x
  3. Step 3: Cross multiply
    730,986x = 1,129,680 × 1,129,680
  4. Step 4: Simplify right side
    730,986x = 1,276,176,902,400
  5. Step 5: Solve for x
    x = 1,276,176,902,400/730,986
  6. Step 6: Final answer
    x = 1,745,829.47

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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.