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Finding the Third Proportional to 782,550 and 1,243,863

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Solution

The third proportional to 782,550 and 1,243,863 is: 1,977,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,550 : 1,243,863 = 1,243,863 : x
  2. Step 2: Convert to fraction form
    782,550/1,243,863 = 1,243,863/x
  3. Step 3: Cross multiply
    782,550x = 1,243,863 × 1,243,863
  4. Step 4: Simplify right side
    782,550x = 1,547,195,162,769
  5. Step 5: Solve for x
    x = 1,547,195,162,769/782,550
  6. Step 6: Final answer
    x = 1,977,119.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.