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Finding the Third Proportional to 768,420 and 1,132,758

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Solution

The third proportional to 768,420 and 1,132,758 is: 1,669,842.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,420 : 1,132,758 = 1,132,758 : x
  2. Step 2: Convert to fraction form
    768,420/1,132,758 = 1,132,758/x
  3. Step 3: Cross multiply
    768,420x = 1,132,758 × 1,132,758
  4. Step 4: Simplify right side
    768,420x = 1,283,140,686,564
  5. Step 5: Solve for x
    x = 1,283,140,686,564/768,420
  6. Step 6: Final answer
    x = 1,669,842.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.