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Finding the Third Proportional to 45,520 and 70,328

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Solution

The third proportional to 45,520 and 70,328 is: 108,656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,520 : 70,328 = 70,328 : x
  2. Step 2: Convert to fraction form
    45,520/70,328 = 70,328/x
  3. Step 3: Cross multiply
    45,520x = 70,328 × 70,328
  4. Step 4: Simplify right side
    45,520x = 4,946,027,584
  5. Step 5: Solve for x
    x = 4,946,027,584/45,520
  6. Step 6: Final answer
    x = 108,656.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.