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Finding the Third Proportional to 728,212.50 and 1,130,658

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Solution

The third proportional to 728,212.50 and 1,130,658 is: 1,755,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,212.50 : 1,130,658 = 1,130,658 : x
  2. Step 2: Convert to fraction form
    728,212.50/1,130,658 = 1,130,658/x
  3. Step 3: Cross multiply
    728,212.50x = 1,130,658 × 1,130,658
  4. Step 4: Simplify right side
    728,212.50x = 1,278,387,512,964
  5. Step 5: Solve for x
    x = 1,278,387,512,964/728,212.50
  6. Step 6: Final answer
    x = 1,755,514.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.