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Finding the Third Proportional to 285,604 and 615,336

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Solution

The third proportional to 285,604 and 615,336 is: 1,325,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,604 : 615,336 = 615,336 : x
  2. Step 2: Convert to fraction form
    285,604/615,336 = 615,336/x
  3. Step 3: Cross multiply
    285,604x = 615,336 × 615,336
  4. Step 4: Simplify right side
    285,604x = 378,638,392,896
  5. Step 5: Solve for x
    x = 378,638,392,896/285,604
  6. Step 6: Final answer
    x = 1,325,746.11

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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.