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Finding the Third Proportional to 288,156 and 620,700

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Solution

The third proportional to 288,156 and 620,700 is: 1,337,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,156 : 620,700 = 620,700 : x
  2. Step 2: Convert to fraction form
    288,156/620,700 = 620,700/x
  3. Step 3: Cross multiply
    288,156x = 620,700 × 620,700
  4. Step 4: Simplify right side
    288,156x = 385,268,490,000
  5. Step 5: Solve for x
    x = 385,268,490,000/288,156
  6. Step 6: Final answer
    x = 1,337,013.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.