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Finding the Third Proportional to 580,416 and 911,520

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Solution

The third proportional to 580,416 and 911,520 is: 1,431,505.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,416 : 911,520 = 911,520 : x
  2. Step 2: Convert to fraction form
    580,416/911,520 = 911,520/x
  3. Step 3: Cross multiply
    580,416x = 911,520 × 911,520
  4. Step 4: Simplify right side
    580,416x = 830,868,710,400
  5. Step 5: Solve for x
    x = 830,868,710,400/580,416
  6. Step 6: Final answer
    x = 1,431,505.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.