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Finding the Third Proportional to 305,754 and 648,510

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Solution

The third proportional to 305,754 and 648,510 is: 1,375,501.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,754 : 648,510 = 648,510 : x
  2. Step 2: Convert to fraction form
    305,754/648,510 = 648,510/x
  3. Step 3: Cross multiply
    305,754x = 648,510 × 648,510
  4. Step 4: Simplify right side
    305,754x = 420,565,220,100
  5. Step 5: Solve for x
    x = 420,565,220,100/305,754
  6. Step 6: Final answer
    x = 1,375,501.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.