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Finding the Third Proportional to 281,647.13 and 435,835.69

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Solution

The third proportional to 281,647.13 and 435,835.69 is: 674,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,647.13 : 435,835.69 = 435,835.69 : x
  2. Step 2: Convert to fraction form
    281,647.13/435,835.69 = 435,835.69/x
  3. Step 3: Cross multiply
    281,647.13x = 435,835.69 × 435,835.69
  4. Step 4: Simplify right side
    281,647.13x = 189,952,746,498.60
  5. Step 5: Solve for x
    x = 189,952,746,498.60/281,647.13
  6. Step 6: Final answer
    x = 674,435.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.