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Finding the Third Proportional to 70,454 and 145,566

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Solution

The third proportional to 70,454 and 145,566 is: 300,755.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,454 : 145,566 = 145,566 : x
  2. Step 2: Convert to fraction form
    70,454/145,566 = 145,566/x
  3. Step 3: Cross multiply
    70,454x = 145,566 × 145,566
  4. Step 4: Simplify right side
    70,454x = 21,189,460,356
  5. Step 5: Solve for x
    x = 21,189,460,356/70,454
  6. Step 6: Final answer
    x = 300,755.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.