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Finding the Third Proportional to 163,870.13 and 221,401.13

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Solution

The third proportional to 163,870.13 and 221,401.13 is: 299,129.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,870.13 : 221,401.13 = 221,401.13 : x
  2. Step 2: Convert to fraction form
    163,870.13/221,401.13 = 221,401.13/x
  3. Step 3: Cross multiply
    163,870.13x = 221,401.13 × 221,401.13
  4. Step 4: Simplify right side
    163,870.13x = 49,018,458,151.27
  5. Step 5: Solve for x
    x = 49,018,458,151.27/163,870.13
  6. Step 6: Final answer
    x = 299,129.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.