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Finding the Third Proportional to 45,443 and 70,473

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Solution

The third proportional to 45,443 and 70,473 is: 109,289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,443 : 70,473 = 70,473 : x
  2. Step 2: Convert to fraction form
    45,443/70,473 = 70,473/x
  3. Step 3: Cross multiply
    45,443x = 70,473 × 70,473
  4. Step 4: Simplify right side
    45,443x = 4,966,443,729
  5. Step 5: Solve for x
    x = 4,966,443,729/45,443
  6. Step 6: Final answer
    x = 109,289.52

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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.