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Finding the Third Proportional to 280,038 and 432,468

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Solution

The third proportional to 280,038 and 432,468 is: 667,868.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,038 : 432,468 = 432,468 : x
  2. Step 2: Convert to fraction form
    280,038/432,468 = 432,468/x
  3. Step 3: Cross multiply
    280,038x = 432,468 × 432,468
  4. Step 4: Simplify right side
    280,038x = 187,028,571,024
  5. Step 5: Solve for x
    x = 187,028,571,024/280,038
  6. Step 6: Final answer
    x = 667,868.54

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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.