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Finding the Third Proportional to 142,644 and 302,703

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Solution

The third proportional to 142,644 and 302,703 is: 642,362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,644 : 302,703 = 302,703 : x
  2. Step 2: Convert to fraction form
    142,644/302,703 = 302,703/x
  3. Step 3: Cross multiply
    142,644x = 302,703 × 302,703
  4. Step 4: Simplify right side
    142,644x = 91,629,106,209
  5. Step 5: Solve for x
    x = 91,629,106,209/142,644
  6. Step 6: Final answer
    x = 642,362.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.