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Finding the Third Proportional to 728,412 and 1,102,774

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Solution

The third proportional to 728,412 and 1,102,774 is: 1,669,536.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,412 : 1,102,774 = 1,102,774 : x
  2. Step 2: Convert to fraction form
    728,412/1,102,774 = 1,102,774/x
  3. Step 3: Cross multiply
    728,412x = 1,102,774 × 1,102,774
  4. Step 4: Simplify right side
    728,412x = 1,216,110,495,076
  5. Step 5: Solve for x
    x = 1,216,110,495,076/728,412
  6. Step 6: Final answer
    x = 1,669,536.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.