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Finding the Third Proportional to 75,428 and 163,378

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Solution

The third proportional to 75,428 and 163,378 is: 353,878.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,428 : 163,378 = 163,378 : x
  2. Step 2: Convert to fraction form
    75,428/163,378 = 163,378/x
  3. Step 3: Cross multiply
    75,428x = 163,378 × 163,378
  4. Step 4: Simplify right side
    75,428x = 26,692,370,884
  5. Step 5: Solve for x
    x = 26,692,370,884/75,428
  6. Step 6: Final answer
    x = 353,878.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.