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Finding the Third Proportional to 102,429.56 and 221,707.13

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Solution

The third proportional to 102,429.56 and 221,707.13 is: 479,881.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,429.56 : 221,707.13 = 221,707.13 : x
  2. Step 2: Convert to fraction form
    102,429.56/221,707.13 = 221,707.13/x
  3. Step 3: Cross multiply
    102,429.56x = 221,707.13 × 221,707.13
  4. Step 4: Simplify right side
    102,429.56x = 49,154,049,275.77
  5. Step 5: Solve for x
    x = 49,154,049,275.77/102,429.56
  6. Step 6: Final answer
    x = 479,881.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.