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Finding the Third Proportional to 287,184 and 608,928

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Solution

The third proportional to 287,184 and 608,928 is: 1,291,134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,184 : 608,928 = 608,928 : x
  2. Step 2: Convert to fraction form
    287,184/608,928 = 608,928/x
  3. Step 3: Cross multiply
    287,184x = 608,928 × 608,928
  4. Step 4: Simplify right side
    287,184x = 370,793,309,184
  5. Step 5: Solve for x
    x = 370,793,309,184/287,184
  6. Step 6: Final answer
    x = 1,291,134.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.