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Finding the Third Proportional to 280,908 and 521,964

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Solution

The third proportional to 280,908 and 521,964 is: 969,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,908 : 521,964 = 521,964 : x
  2. Step 2: Convert to fraction form
    280,908/521,964 = 521,964/x
  3. Step 3: Cross multiply
    280,908x = 521,964 × 521,964
  4. Step 4: Simplify right side
    280,908x = 272,446,417,296
  5. Step 5: Solve for x
    x = 272,446,417,296/280,908
  6. Step 6: Final answer
    x = 969,877.74

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.