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Finding the Third Proportional to 223,220.81 and 488,359.13

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Solution

The third proportional to 223,220.81 and 488,359.13 is: 1,068,424.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,220.81 : 488,359.13 = 488,359.13 : x
  2. Step 2: Convert to fraction form
    223,220.81/488,359.13 = 488,359.13/x
  3. Step 3: Cross multiply
    223,220.81x = 488,359.13 × 488,359.13
  4. Step 4: Simplify right side
    223,220.81x = 238,494,634,970.77
  5. Step 5: Solve for x
    x = 238,494,634,970.77/223,220.81
  6. Step 6: Final answer
    x = 1,068,424.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.