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Finding the Third Proportional to 1,615.78 and 2,430.84

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Solution

The third proportional to 1,615.78 and 2,430.84 is: 3,657.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.78 : 2,430.84 = 2,430.84 : x
  2. Step 2: Convert to fraction form
    1,615.78/2,430.84 = 2,430.84/x
  3. Step 3: Cross multiply
    1,615.78x = 2,430.84 × 2,430.84
  4. Step 4: Simplify right side
    1,615.78x = 5,909,001.34
  5. Step 5: Solve for x
    x = 5,909,001.34/1,615.78
  6. Step 6: Final answer
    x = 3,657.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.