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Finding the Third Proportional to 287,353.50 and 615,957

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Solution

The third proportional to 287,353.50 and 615,957 is: 1,320,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,353.50 : 615,957 = 615,957 : x
  2. Step 2: Convert to fraction form
    287,353.50/615,957 = 615,957/x
  3. Step 3: Cross multiply
    287,353.50x = 615,957 × 615,957
  4. Step 4: Simplify right side
    287,353.50x = 379,403,025,849
  5. Step 5: Solve for x
    x = 379,403,025,849/287,353.50
  6. Step 6: Final answer
    x = 1,320,335.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.