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Finding the Third Proportional to 30,885.19 and 67,434.19

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Solution

The third proportional to 30,885.19 and 67,434.19 is: 147,234.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,885.19 : 67,434.19 = 67,434.19 : x
  2. Step 2: Convert to fraction form
    30,885.19/67,434.19 = 67,434.19/x
  3. Step 3: Cross multiply
    30,885.19x = 67,434.19 × 67,434.19
  4. Step 4: Simplify right side
    30,885.19x = 4,547,369,643.79
  5. Step 5: Solve for x
    x = 4,547,369,643.79/30,885.19
  6. Step 6: Final answer
    x = 147,234.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.