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Finding the Third Proportional to 70,278 and 112,403

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Solution

The third proportional to 70,278 and 112,403 is: 179,777.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,278 : 112,403 = 112,403 : x
  2. Step 2: Convert to fraction form
    70,278/112,403 = 112,403/x
  3. Step 3: Cross multiply
    70,278x = 112,403 × 112,403
  4. Step 4: Simplify right side
    70,278x = 12,634,434,409
  5. Step 5: Solve for x
    x = 12,634,434,409/70,278
  6. Step 6: Final answer
    x = 179,777.94

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.