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Finding the Third Proportional to 280,026 and 425,232

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Solution

The third proportional to 280,026 and 425,232 is: 645,733.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,026 : 425,232 = 425,232 : x
  2. Step 2: Convert to fraction form
    280,026/425,232 = 425,232/x
  3. Step 3: Cross multiply
    280,026x = 425,232 × 425,232
  4. Step 4: Simplify right side
    280,026x = 180,822,253,824
  5. Step 5: Solve for x
    x = 180,822,253,824/280,026
  6. Step 6: Final answer
    x = 645,733.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.