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Finding the Third Proportional to 77,878 and 169,428

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Solution

The third proportional to 77,878 and 169,428 is: 368,600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,878 : 169,428 = 169,428 : x
  2. Step 2: Convert to fraction form
    77,878/169,428 = 169,428/x
  3. Step 3: Cross multiply
    77,878x = 169,428 × 169,428
  4. Step 4: Simplify right side
    77,878x = 28,705,847,184
  5. Step 5: Solve for x
    x = 28,705,847,184/77,878
  6. Step 6: Final answer
    x = 368,600.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.