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Finding the Third Proportional to 163,416 and 386,381.50

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Solution

The third proportional to 163,416 and 386,381.50 is: 913,562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,416 : 386,381.50 = 386,381.50 : x
  2. Step 2: Convert to fraction form
    163,416/386,381.50 = 386,381.50/x
  3. Step 3: Cross multiply
    163,416x = 386,381.50 × 386,381.50
  4. Step 4: Simplify right side
    163,416x = 149,290,663,542.25
  5. Step 5: Solve for x
    x = 149,290,663,542.25/163,416
  6. Step 6: Final answer
    x = 913,562.10

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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.