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Finding the Third Proportional to 142,040 and 310,808

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Solution

The third proportional to 142,040 and 310,808 is: 680,101.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,040 : 310,808 = 310,808 : x
  2. Step 2: Convert to fraction form
    142,040/310,808 = 310,808/x
  3. Step 3: Cross multiply
    142,040x = 310,808 × 310,808
  4. Step 4: Simplify right side
    142,040x = 96,601,612,864
  5. Step 5: Solve for x
    x = 96,601,612,864/142,040
  6. Step 6: Final answer
    x = 680,101.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.