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Finding the Third Proportional to 346,269 and 521,685

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Solution

The third proportional to 346,269 and 521,685 is: 785,964.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,269 : 521,685 = 521,685 : x
  2. Step 2: Convert to fraction form
    346,269/521,685 = 521,685/x
  3. Step 3: Cross multiply
    346,269x = 521,685 × 521,685
  4. Step 4: Simplify right side
    346,269x = 272,155,239,225
  5. Step 5: Solve for x
    x = 272,155,239,225/346,269
  6. Step 6: Final answer
    x = 785,964.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.