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Finding the Third Proportional to 408,528 and 610,320

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Solution

The third proportional to 408,528 and 610,320 is: 911,786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,528 : 610,320 = 610,320 : x
  2. Step 2: Convert to fraction form
    408,528/610,320 = 610,320/x
  3. Step 3: Cross multiply
    408,528x = 610,320 × 610,320
  4. Step 4: Simplify right side
    408,528x = 372,490,502,400
  5. Step 5: Solve for x
    x = 372,490,502,400/408,528
  6. Step 6: Final answer
    x = 911,786.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.