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Finding the Third Proportional to 285,984 and 615,816

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Solution

The third proportional to 285,984 and 615,816 is: 1,326,050.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,984 : 615,816 = 615,816 : x
  2. Step 2: Convert to fraction form
    285,984/615,816 = 615,816/x
  3. Step 3: Cross multiply
    285,984x = 615,816 × 615,816
  4. Step 4: Simplify right side
    285,984x = 379,229,345,856
  5. Step 5: Solve for x
    x = 379,229,345,856/285,984
  6. Step 6: Final answer
    x = 1,326,050.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.