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Finding the Third Proportional to 285,060 and 615,768

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Solution

The third proportional to 285,060 and 615,768 is: 1,330,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,060 : 615,768 = 615,768 : x
  2. Step 2: Convert to fraction form
    285,060/615,768 = 615,768/x
  3. Step 3: Cross multiply
    285,060x = 615,768 × 615,768
  4. Step 4: Simplify right side
    285,060x = 379,170,229,824
  5. Step 5: Solve for x
    x = 379,170,229,824/285,060
  6. Step 6: Final answer
    x = 1,330,141.83

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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.