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Finding the Third Proportional to 356,858 and 521,886

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Solution

The third proportional to 356,858 and 521,886 is: 763,230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,858 : 521,886 = 521,886 : x
  2. Step 2: Convert to fraction form
    356,858/521,886 = 521,886/x
  3. Step 3: Cross multiply
    356,858x = 521,886 × 521,886
  4. Step 4: Simplify right side
    356,858x = 272,364,996,996
  5. Step 5: Solve for x
    x = 272,364,996,996/356,858
  6. Step 6: Final answer
    x = 763,230.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.