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Finding the Third Proportional to 142,132.31 and 310,970.06

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Solution

The third proportional to 142,132.31 and 310,970.06 is: 680,368.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,132.31 : 310,970.06 = 310,970.06 : x
  2. Step 2: Convert to fraction form
    142,132.31/310,970.06 = 310,970.06/x
  3. Step 3: Cross multiply
    142,132.31x = 310,970.06 × 310,970.06
  4. Step 4: Simplify right side
    142,132.31x = 96,702,379,771.25
  5. Step 5: Solve for x
    x = 96,702,379,771.25/142,132.31
  6. Step 6: Final answer
    x = 680,368.72

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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.