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Finding the Third Proportional to 280,080 and 430,503

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Solution

The third proportional to 280,080 and 430,503 is: 661,713.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,080 : 430,503 = 430,503 : x
  2. Step 2: Convert to fraction form
    280,080/430,503 = 430,503/x
  3. Step 3: Cross multiply
    280,080x = 430,503 × 430,503
  4. Step 4: Simplify right side
    280,080x = 185,332,833,009
  5. Step 5: Solve for x
    x = 185,332,833,009/280,080
  6. Step 6: Final answer
    x = 661,713.91

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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.