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Finding the Third Proportional to 399,630 and 872,484

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Solution

The third proportional to 399,630 and 872,484 is: 1,904,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,630 : 872,484 = 872,484 : x
  2. Step 2: Convert to fraction form
    399,630/872,484 = 872,484/x
  3. Step 3: Cross multiply
    399,630x = 872,484 × 872,484
  4. Step 4: Simplify right side
    399,630x = 761,228,330,256
  5. Step 5: Solve for x
    x = 761,228,330,256/399,630
  6. Step 6: Final answer
    x = 1,904,832.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.