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Finding the Third Proportional to 145,959.47 and 313,743.38

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Solution

The third proportional to 145,959.47 and 313,743.38 is: 674,398.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,959.47 : 313,743.38 = 313,743.38 : x
  2. Step 2: Convert to fraction form
    145,959.47/313,743.38 = 313,743.38/x
  3. Step 3: Cross multiply
    145,959.47x = 313,743.38 × 313,743.38
  4. Step 4: Simplify right side
    145,959.47x = 98,434,905,356.39
  5. Step 5: Solve for x
    x = 98,434,905,356.39/145,959.47
  6. Step 6: Final answer
    x = 674,398.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.