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Finding the Third Proportional to 142,470.75 and 304,009.13

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Solution

The third proportional to 142,470.75 and 304,009.13 is: 648,705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,470.75 : 304,009.13 = 304,009.13 : x
  2. Step 2: Convert to fraction form
    142,470.75/304,009.13 = 304,009.13/x
  3. Step 3: Cross multiply
    142,470.75x = 304,009.13 × 304,009.13
  4. Step 4: Simplify right side
    142,470.75x = 92,421,548,083.27
  5. Step 5: Solve for x
    x = 92,421,548,083.27/142,470.75
  6. Step 6: Final answer
    x = 648,705.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.