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Finding the Third Proportional to 35,378 and 74,403

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Solution

The third proportional to 35,378 and 74,403 is: 156,475.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,378 : 74,403 = 74,403 : x
  2. Step 2: Convert to fraction form
    35,378/74,403 = 74,403/x
  3. Step 3: Cross multiply
    35,378x = 74,403 × 74,403
  4. Step 4: Simplify right side
    35,378x = 5,535,806,409
  5. Step 5: Solve for x
    x = 5,535,806,409/35,378
  6. Step 6: Final answer
    x = 156,475.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.