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Finding the Third Proportional to 142,094.25 and 310,903.31

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Solution

The third proportional to 142,094.25 and 310,903.31 is: 680,258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,094.25 : 310,903.31 = 310,903.31 : x
  2. Step 2: Convert to fraction form
    142,094.25/310,903.31 = 310,903.31/x
  3. Step 3: Cross multiply
    142,094.25x = 310,903.31 × 310,903.31
  4. Step 4: Simplify right side
    142,094.25x = 96,660,869,723.47
  5. Step 5: Solve for x
    x = 96,660,869,723.47/142,094.25
  6. Step 6: Final answer
    x = 680,258.84

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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.