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Finding the Third Proportional to 142,720.31 and 310,867.88

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Solution

The third proportional to 142,720.31 and 310,867.88 is: 677,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,720.31 : 310,867.88 = 310,867.88 : x
  2. Step 2: Convert to fraction form
    142,720.31/310,867.88 = 310,867.88/x
  3. Step 3: Cross multiply
    142,720.31x = 310,867.88 × 310,867.88
  4. Step 4: Simplify right side
    142,720.31x = 96,638,835,707.02
  5. Step 5: Solve for x
    x = 96,638,835,707.02/142,720.31
  6. Step 6: Final answer
    x = 677,120.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.