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Finding the Third Proportional to 219,930.19 and 306,931.78

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Solution

The third proportional to 219,930.19 and 306,931.78 is: 428,350.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,930.19 : 306,931.78 = 306,931.78 : x
  2. Step 2: Convert to fraction form
    219,930.19/306,931.78 = 306,931.78/x
  3. Step 3: Cross multiply
    219,930.19x = 306,931.78 × 306,931.78
  4. Step 4: Simplify right side
    219,930.19x = 94,207,118,341.30
  5. Step 5: Solve for x
    x = 94,207,118,341.30/219,930.19
  6. Step 6: Final answer
    x = 428,350.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.