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Finding the Third Proportional to 292.45 and 630.47

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Solution

The third proportional to 292.45 and 630.47 is: 1,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.45 : 630.47 = 630.47 : x
  2. Step 2: Convert to fraction form
    292.45/630.47 = 630.47/x
  3. Step 3: Cross multiply
    292.45x = 630.47 × 630.47
  4. Step 4: Simplify right side
    292.45x = 397,490.84
  5. Step 5: Solve for x
    x = 397,490.84/292.45
  6. Step 6: Final answer
    x = 1,359.16

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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.