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Finding the Third Proportional to 285,070 and 615,338

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Solution

The third proportional to 285,070 and 615,338 is: 1,328,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,070 : 615,338 = 615,338 : x
  2. Step 2: Convert to fraction form
    285,070/615,338 = 615,338/x
  3. Step 3: Cross multiply
    285,070x = 615,338 × 615,338
  4. Step 4: Simplify right side
    285,070x = 378,640,854,244
  5. Step 5: Solve for x
    x = 378,640,854,244/285,070
  6. Step 6: Final answer
    x = 1,328,238.17

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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.