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Finding the Third Proportional to 280,001.81 and 430,626.38

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Solution

The third proportional to 280,001.81 and 430,626.38 is: 662,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,001.81 : 430,626.38 = 430,626.38 : x
  2. Step 2: Convert to fraction form
    280,001.81/430,626.38 = 430,626.38/x
  3. Step 3: Cross multiply
    280,001.81x = 430,626.38 × 430,626.38
  4. Step 4: Simplify right side
    280,001.81x = 185,439,074,845.64
  5. Step 5: Solve for x
    x = 185,439,074,845.64/280,001.81
  6. Step 6: Final answer
    x = 662,278.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.