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Finding the Third Proportional to 306,202 and 656,700

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Solution

The third proportional to 306,202 and 656,700 is: 1,408,399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,202 : 656,700 = 656,700 : x
  2. Step 2: Convert to fraction form
    306,202/656,700 = 656,700/x
  3. Step 3: Cross multiply
    306,202x = 656,700 × 656,700
  4. Step 4: Simplify right side
    306,202x = 431,254,890,000
  5. Step 5: Solve for x
    x = 431,254,890,000/306,202
  6. Step 6: Final answer
    x = 1,408,399.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.