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Finding the Third Proportional to 280,359 and 597,415.50

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Solution

The third proportional to 280,359 and 597,415.50 is: 1,273,029.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,359 : 597,415.50 = 597,415.50 : x
  2. Step 2: Convert to fraction form
    280,359/597,415.50 = 597,415.50/x
  3. Step 3: Cross multiply
    280,359x = 597,415.50 × 597,415.50
  4. Step 4: Simplify right side
    280,359x = 356,905,279,640.25
  5. Step 5: Solve for x
    x = 356,905,279,640.25/280,359
  6. Step 6: Final answer
    x = 1,273,029.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.