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Finding the Third Proportional to 375,944 and 813,840

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Solution

The third proportional to 375,944 and 813,840 is: 1,761,793.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,944 : 813,840 = 813,840 : x
  2. Step 2: Convert to fraction form
    375,944/813,840 = 813,840/x
  3. Step 3: Cross multiply
    375,944x = 813,840 × 813,840
  4. Step 4: Simplify right side
    375,944x = 662,335,545,600
  5. Step 5: Solve for x
    x = 662,335,545,600/375,944
  6. Step 6: Final answer
    x = 1,761,793.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.