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Finding the Third Proportional to 107,946 and 163,428

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Solution

The third proportional to 107,946 and 163,428 is: 247,426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,946 : 163,428 = 163,428 : x
  2. Step 2: Convert to fraction form
    107,946/163,428 = 163,428/x
  3. Step 3: Cross multiply
    107,946x = 163,428 × 163,428
  4. Step 4: Simplify right side
    107,946x = 26,708,711,184
  5. Step 5: Solve for x
    x = 26,708,711,184/107,946
  6. Step 6: Final answer
    x = 247,426.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.