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Finding the Third Proportional to 304,278 and 472,999.50

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Solution

The third proportional to 304,278 and 472,999.50 is: 735,276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,278 : 472,999.50 = 472,999.50 : x
  2. Step 2: Convert to fraction form
    304,278/472,999.50 = 472,999.50/x
  3. Step 3: Cross multiply
    304,278x = 472,999.50 × 472,999.50
  4. Step 4: Simplify right side
    304,278x = 223,728,527,000.25
  5. Step 5: Solve for x
    x = 223,728,527,000.25/304,278
  6. Step 6: Final answer
    x = 735,276.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.