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Finding the Third Proportional to 677,520 and 997,580

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Solution

The third proportional to 677,520 and 997,580 is: 1,468,836.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,520 : 997,580 = 997,580 : x
  2. Step 2: Convert to fraction form
    677,520/997,580 = 997,580/x
  3. Step 3: Cross multiply
    677,520x = 997,580 × 997,580
  4. Step 4: Simplify right side
    677,520x = 995,165,856,400
  5. Step 5: Solve for x
    x = 995,165,856,400/677,520
  6. Step 6: Final answer
    x = 1,468,836.13

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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.