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Finding the Third Proportional to 287,374.50 and 435,040.88

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Solution

The third proportional to 287,374.50 and 435,040.88 is: 658,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,374.50 : 435,040.88 = 435,040.88 : x
  2. Step 2: Convert to fraction form
    287,374.50/435,040.88 = 435,040.88/x
  3. Step 3: Cross multiply
    287,374.50x = 435,040.88 × 435,040.88
  4. Step 4: Simplify right side
    287,374.50x = 189,260,562,920.77
  5. Step 5: Solve for x
    x = 189,260,562,920.77/287,374.50
  6. Step 6: Final answer
    x = 658,585.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.