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Finding the Third Proportional to 77,893 and 169,454

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Solution

The third proportional to 77,893 and 169,454 is: 368,642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,893 : 169,454 = 169,454 : x
  2. Step 2: Convert to fraction form
    77,893/169,454 = 169,454/x
  3. Step 3: Cross multiply
    77,893x = 169,454 × 169,454
  4. Step 4: Simplify right side
    77,893x = 28,714,658,116
  5. Step 5: Solve for x
    x = 28,714,658,116/77,893
  6. Step 6: Final answer
    x = 368,642.34

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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.