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Finding the Third Proportional to 283,987.50 and 615,289.13

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Solution

The third proportional to 283,987.50 and 615,289.13 is: 1,333,089.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,987.50 : 615,289.13 = 615,289.13 : x
  2. Step 2: Convert to fraction form
    283,987.50/615,289.13 = 615,289.13/x
  3. Step 3: Cross multiply
    283,987.50x = 615,289.13 × 615,289.13
  4. Step 4: Simplify right side
    283,987.50x = 378,580,707,343.27
  5. Step 5: Solve for x
    x = 378,580,707,343.27/283,987.50
  6. Step 6: Final answer
    x = 1,333,089.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.