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Finding the Third Proportional to 345,289 and 813,935

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Solution

The third proportional to 345,289 and 813,935 is: 1,918,654.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,289 : 813,935 = 813,935 : x
  2. Step 2: Convert to fraction form
    345,289/813,935 = 813,935/x
  3. Step 3: Cross multiply
    345,289x = 813,935 × 813,935
  4. Step 4: Simplify right side
    345,289x = 662,490,184,225
  5. Step 5: Solve for x
    x = 662,490,184,225/345,289
  6. Step 6: Final answer
    x = 1,918,654.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.