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Finding the Third Proportional to 70,143 and 149,046

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Solution

The third proportional to 70,143 and 149,046 is: 316,706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,143 : 149,046 = 149,046 : x
  2. Step 2: Convert to fraction form
    70,143/149,046 = 149,046/x
  3. Step 3: Cross multiply
    70,143x = 149,046 × 149,046
  4. Step 4: Simplify right side
    70,143x = 22,214,710,116
  5. Step 5: Solve for x
    x = 22,214,710,116/70,143
  6. Step 6: Final answer
    x = 316,706.02

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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.