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Finding the Third Proportional to 280,254 and 426,862

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Solution

The third proportional to 280,254 and 426,862 is: 650,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,254 : 426,862 = 426,862 : x
  2. Step 2: Convert to fraction form
    280,254/426,862 = 426,862/x
  3. Step 3: Cross multiply
    280,254x = 426,862 × 426,862
  4. Step 4: Simplify right side
    280,254x = 182,211,167,044
  5. Step 5: Solve for x
    x = 182,211,167,044/280,254
  6. Step 6: Final answer
    x = 650,164.38

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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.