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Finding the Third Proportional to 45,705 and 70,629

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Solution

The third proportional to 45,705 and 70,629 is: 109,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,705 : 70,629 = 70,629 : x
  2. Step 2: Convert to fraction form
    45,705/70,629 = 70,629/x
  3. Step 3: Cross multiply
    45,705x = 70,629 × 70,629
  4. Step 4: Simplify right side
    45,705x = 4,988,455,641
  5. Step 5: Solve for x
    x = 4,988,455,641/45,705
  6. Step 6: Final answer
    x = 109,144.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.