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Finding the Third Proportional to 45,390 and 70,446

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Solution

The third proportional to 45,390 and 70,446 is: 109,333.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,390 : 70,446 = 70,446 : x
  2. Step 2: Convert to fraction form
    45,390/70,446 = 70,446/x
  3. Step 3: Cross multiply
    45,390x = 70,446 × 70,446
  4. Step 4: Simplify right side
    45,390x = 4,962,638,916
  5. Step 5: Solve for x
    x = 4,962,638,916/45,390
  6. Step 6: Final answer
    x = 109,333.31

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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.