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Finding the Third Proportional to 142,925.25 and 282,236.25

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Solution

The third proportional to 142,925.25 and 282,236.25 is: 557,335.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,925.25 : 282,236.25 = 282,236.25 : x
  2. Step 2: Convert to fraction form
    142,925.25/282,236.25 = 282,236.25/x
  3. Step 3: Cross multiply
    142,925.25x = 282,236.25 × 282,236.25
  4. Step 4: Simplify right side
    142,925.25x = 79,657,300,814.06
  5. Step 5: Solve for x
    x = 79,657,300,814.06/142,925.25
  6. Step 6: Final answer
    x = 557,335.40

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.