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Finding the Third Proportional to 163,436 and 386,424

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Solution

The third proportional to 163,436 and 386,424 is: 913,651.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,436 : 386,424 = 386,424 : x
  2. Step 2: Convert to fraction form
    163,436/386,424 = 386,424/x
  3. Step 3: Cross multiply
    163,436x = 386,424 × 386,424
  4. Step 4: Simplify right side
    163,436x = 149,323,507,776
  5. Step 5: Solve for x
    x = 149,323,507,776/163,436
  6. Step 6: Final answer
    x = 913,651.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.