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Finding the Third Proportional to 299,220 and 654,746

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Solution

The third proportional to 299,220 and 654,746 is: 1,432,699.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,220 : 654,746 = 654,746 : x
  2. Step 2: Convert to fraction form
    299,220/654,746 = 654,746/x
  3. Step 3: Cross multiply
    299,220x = 654,746 × 654,746
  4. Step 4: Simplify right side
    299,220x = 428,692,324,516
  5. Step 5: Solve for x
    x = 428,692,324,516/299,220
  6. Step 6: Final answer
    x = 1,432,699.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.