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Finding the Third Proportional to 285,609 and 615,851.25

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Solution

The third proportional to 285,609 and 615,851.25 is: 1,327,944.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,609 : 615,851.25 = 615,851.25 : x
  2. Step 2: Convert to fraction form
    285,609/615,851.25 = 615,851.25/x
  3. Step 3: Cross multiply
    285,609x = 615,851.25 × 615,851.25
  4. Step 4: Simplify right side
    285,609x = 379,272,762,126.56
  5. Step 5: Solve for x
    x = 379,272,762,126.56/285,609
  6. Step 6: Final answer
    x = 1,327,944.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.