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Finding the Third Proportional to 45,347 and 70,389

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Solution

The third proportional to 45,347 and 70,389 is: 109,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,347 : 70,389 = 70,389 : x
  2. Step 2: Convert to fraction form
    45,347/70,389 = 70,389/x
  3. Step 3: Cross multiply
    45,347x = 70,389 × 70,389
  4. Step 4: Simplify right side
    45,347x = 4,954,611,321
  5. Step 5: Solve for x
    x = 4,954,611,321/45,347
  6. Step 6: Final answer
    x = 109,259.96

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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.