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Finding the Third Proportional to 306,035 and 662,890

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Solution

The third proportional to 306,035 and 662,890 is: 1,435,859.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,035 : 662,890 = 662,890 : x
  2. Step 2: Convert to fraction form
    306,035/662,890 = 662,890/x
  3. Step 3: Cross multiply
    306,035x = 662,890 × 662,890
  4. Step 4: Simplify right side
    306,035x = 439,423,152,100
  5. Step 5: Solve for x
    x = 439,423,152,100/306,035
  6. Step 6: Final answer
    x = 1,435,859.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.