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Finding the Third Proportional to 142,203.75 and 304,090.50

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Solution

The third proportional to 142,203.75 and 304,090.50 is: 650,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,203.75 : 304,090.50 = 304,090.50 : x
  2. Step 2: Convert to fraction form
    142,203.75/304,090.50 = 304,090.50/x
  3. Step 3: Cross multiply
    142,203.75x = 304,090.50 × 304,090.50
  4. Step 4: Simplify right side
    142,203.75x = 92,471,032,190.25
  5. Step 5: Solve for x
    x = 92,471,032,190.25/142,203.75
  6. Step 6: Final answer
    x = 650,271.40

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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.