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Finding the Third Proportional to 398,784.38 and 612,959.63

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Solution

The third proportional to 398,784.38 and 612,959.63 is: 942,162.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,784.38 : 612,959.63 = 612,959.63 : x
  2. Step 2: Convert to fraction form
    398,784.38/612,959.63 = 612,959.63/x
  3. Step 3: Cross multiply
    398,784.38x = 612,959.63 × 612,959.63
  4. Step 4: Simplify right side
    398,784.38x = 375,719,501,880.14
  5. Step 5: Solve for x
    x = 375,719,501,880.14/398,784.38
  6. Step 6: Final answer
    x = 942,162.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.