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Finding the Third Proportional to 142,203.50 and 307,213

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Solution

The third proportional to 142,203.50 and 307,213 is: 663,695.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,203.50 : 307,213 = 307,213 : x
  2. Step 2: Convert to fraction form
    142,203.50/307,213 = 307,213/x
  3. Step 3: Cross multiply
    142,203.50x = 307,213 × 307,213
  4. Step 4: Simplify right side
    142,203.50x = 94,379,827,369
  5. Step 5: Solve for x
    x = 94,379,827,369/142,203.50
  6. Step 6: Final answer
    x = 663,695.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.