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Finding the Third Proportional to 45,139 and 70,208

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Solution

The third proportional to 45,139 and 70,208 is: 109,199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,139 : 70,208 = 70,208 : x
  2. Step 2: Convert to fraction form
    45,139/70,208 = 70,208/x
  3. Step 3: Cross multiply
    45,139x = 70,208 × 70,208
  4. Step 4: Simplify right side
    45,139x = 4,929,163,264
  5. Step 5: Solve for x
    x = 4,929,163,264/45,139
  6. Step 6: Final answer
    x = 109,199.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.