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Finding the Third Proportional to 370,864 and 811,712

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Solution

The third proportional to 370,864 and 811,712 is: 1,776,598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,864 : 811,712 = 811,712 : x
  2. Step 2: Convert to fraction form
    370,864/811,712 = 811,712/x
  3. Step 3: Cross multiply
    370,864x = 811,712 × 811,712
  4. Step 4: Simplify right side
    370,864x = 658,876,370,944
  5. Step 5: Solve for x
    x = 658,876,370,944/370,864
  6. Step 6: Final answer
    x = 1,776,598.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.