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Finding the Third Proportional to 374,720 and 811,520

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Solution

The third proportional to 374,720 and 811,520 is: 1,757,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,720 : 811,520 = 811,520 : x
  2. Step 2: Convert to fraction form
    374,720/811,520 = 811,520/x
  3. Step 3: Cross multiply
    374,720x = 811,520 × 811,520
  4. Step 4: Simplify right side
    374,720x = 658,564,710,400
  5. Step 5: Solve for x
    x = 658,564,710,400/374,720
  6. Step 6: Final answer
    x = 1,757,484.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.