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Finding the Third Proportional to 285,074 and 615,346

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Solution

The third proportional to 285,074 and 615,346 is: 1,328,254.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,074 : 615,346 = 615,346 : x
  2. Step 2: Convert to fraction form
    285,074/615,346 = 615,346/x
  3. Step 3: Cross multiply
    285,074x = 615,346 × 615,346
  4. Step 4: Simplify right side
    285,074x = 378,650,699,716
  5. Step 5: Solve for x
    x = 378,650,699,716/285,074
  6. Step 6: Final answer
    x = 1,328,254.07

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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.