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Finding the Third Proportional to 778,747 and 1,138,555

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Solution

The third proportional to 778,747 and 1,138,555 is: 1,664,606.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,747 : 1,138,555 = 1,138,555 : x
  2. Step 2: Convert to fraction form
    778,747/1,138,555 = 1,138,555/x
  3. Step 3: Cross multiply
    778,747x = 1,138,555 × 1,138,555
  4. Step 4: Simplify right side
    778,747x = 1,296,307,488,025
  5. Step 5: Solve for x
    x = 1,296,307,488,025/778,747
  6. Step 6: Final answer
    x = 1,664,606.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.