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Finding the Third Proportional to 142,304 and 302,130

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Solution

The third proportional to 142,304 and 302,130 is: 641,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,304 : 302,130 = 302,130 : x
  2. Step 2: Convert to fraction form
    142,304/302,130 = 302,130/x
  3. Step 3: Cross multiply
    142,304x = 302,130 × 302,130
  4. Step 4: Simplify right side
    142,304x = 91,282,536,900
  5. Step 5: Solve for x
    x = 91,282,536,900/142,304
  6. Step 6: Final answer
    x = 641,461.50

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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.