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Finding the Third Proportional to 215,421.75 and 328,964.63

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Solution

The third proportional to 215,421.75 and 328,964.63 is: 502,352.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,421.75 : 328,964.63 = 328,964.63 : x
  2. Step 2: Convert to fraction form
    215,421.75/328,964.63 = 328,964.63/x
  3. Step 3: Cross multiply
    215,421.75x = 328,964.63 × 328,964.63
  4. Step 4: Simplify right side
    215,421.75x = 108,217,724,501.39
  5. Step 5: Solve for x
    x = 108,217,724,501.39/215,421.75
  6. Step 6: Final answer
    x = 502,352.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.