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Finding the Third Proportional to 287,560.13 and 435,364.88

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Solution

The third proportional to 287,560.13 and 435,364.88 is: 659,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,560.13 : 435,364.88 = 435,364.88 : x
  2. Step 2: Convert to fraction form
    287,560.13/435,364.88 = 435,364.88/x
  3. Step 3: Cross multiply
    287,560.13x = 435,364.88 × 435,364.88
  4. Step 4: Simplify right side
    287,560.13x = 189,542,574,383.77
  5. Step 5: Solve for x
    x = 189,542,574,383.77/287,560.13
  6. Step 6: Final answer
    x = 659,140.67

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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.