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Finding the Third Proportional to 163,808 and 254,461

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Solution

The third proportional to 163,808 and 254,461 is: 395,282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,808 : 254,461 = 254,461 : x
  2. Step 2: Convert to fraction form
    163,808/254,461 = 254,461/x
  3. Step 3: Cross multiply
    163,808x = 254,461 × 254,461
  4. Step 4: Simplify right side
    163,808x = 64,750,400,521
  5. Step 5: Solve for x
    x = 64,750,400,521/163,808
  6. Step 6: Final answer
    x = 395,282.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.