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Finding the Third Proportional to 410,142 and 885,712

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Solution

The third proportional to 410,142 and 885,712 is: 1,912,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,142 : 885,712 = 885,712 : x
  2. Step 2: Convert to fraction form
    410,142/885,712 = 885,712/x
  3. Step 3: Cross multiply
    410,142x = 885,712 × 885,712
  4. Step 4: Simplify right side
    410,142x = 784,485,746,944
  5. Step 5: Solve for x
    x = 784,485,746,944/410,142
  6. Step 6: Final answer
    x = 1,912,717.42

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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.