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Finding the Third Proportional to 48,648 and 79,428

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Solution

The third proportional to 48,648 and 79,428 is: 129,682.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,648 : 79,428 = 79,428 : x
  2. Step 2: Convert to fraction form
    48,648/79,428 = 79,428/x
  3. Step 3: Cross multiply
    48,648x = 79,428 × 79,428
  4. Step 4: Simplify right side
    48,648x = 6,308,807,184
  5. Step 5: Solve for x
    x = 6,308,807,184/48,648
  6. Step 6: Final answer
    x = 129,682.77

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.