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Finding the Third Proportional to 408,561 and 630,072

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Solution

The third proportional to 408,561 and 630,072 is: 971,680.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,561 : 630,072 = 630,072 : x
  2. Step 2: Convert to fraction form
    408,561/630,072 = 630,072/x
  3. Step 3: Cross multiply
    408,561x = 630,072 × 630,072
  4. Step 4: Simplify right side
    408,561x = 396,990,725,184
  5. Step 5: Solve for x
    x = 396,990,725,184/408,561
  6. Step 6: Final answer
    x = 971,680.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.