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Finding the Third Proportional to 45,740 and 70,403

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Solution

The third proportional to 45,740 and 70,403 is: 108,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,740 : 70,403 = 70,403 : x
  2. Step 2: Convert to fraction form
    45,740/70,403 = 70,403/x
  3. Step 3: Cross multiply
    45,740x = 70,403 × 70,403
  4. Step 4: Simplify right side
    45,740x = 4,956,582,409
  5. Step 5: Solve for x
    x = 4,956,582,409/45,740
  6. Step 6: Final answer
    x = 108,364.29

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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.