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Finding the Third Proportional to 142,742.25 and 305,167.50

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Solution

The third proportional to 142,742.25 and 305,167.50 is: 652,415.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,742.25 : 305,167.50 = 305,167.50 : x
  2. Step 2: Convert to fraction form
    142,742.25/305,167.50 = 305,167.50/x
  3. Step 3: Cross multiply
    142,742.25x = 305,167.50 × 305,167.50
  4. Step 4: Simplify right side
    142,742.25x = 93,127,203,056.25
  5. Step 5: Solve for x
    x = 93,127,203,056.25/142,742.25
  6. Step 6: Final answer
    x = 652,415.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.