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Finding the Third Proportional to 728,064 and 1,102,275

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Solution

The third proportional to 728,064 and 1,102,275 is: 1,668,823.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,064 : 1,102,275 = 1,102,275 : x
  2. Step 2: Convert to fraction form
    728,064/1,102,275 = 1,102,275/x
  3. Step 3: Cross multiply
    728,064x = 1,102,275 × 1,102,275
  4. Step 4: Simplify right side
    728,064x = 1,215,010,175,625
  5. Step 5: Solve for x
    x = 1,215,010,175,625/728,064
  6. Step 6: Final answer
    x = 1,668,823.31

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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.