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Finding the Third Proportional to 121,851 and 282,649.50

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Solution

The third proportional to 121,851 and 282,649.50 is: 655,642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,851 : 282,649.50 = 282,649.50 : x
  2. Step 2: Convert to fraction form
    121,851/282,649.50 = 282,649.50/x
  3. Step 3: Cross multiply
    121,851x = 282,649.50 × 282,649.50
  4. Step 4: Simplify right side
    121,851x = 79,890,739,850.25
  5. Step 5: Solve for x
    x = 79,890,739,850.25/121,851
  6. Step 6: Final answer
    x = 655,642.87

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.