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Finding the Third Proportional to 280,152.19 and 420,515.16

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Solution

The third proportional to 280,152.19 and 420,515.16 is: 631,203.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,152.19 : 420,515.16 = 420,515.16 : x
  2. Step 2: Convert to fraction form
    280,152.19/420,515.16 = 420,515.16/x
  3. Step 3: Cross multiply
    280,152.19x = 420,515.16 × 420,515.16
  4. Step 4: Simplify right side
    280,152.19x = 176,832,996,635.96
  5. Step 5: Solve for x
    x = 176,832,996,635.96/280,152.19
  6. Step 6: Final answer
    x = 631,203.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.