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Finding the Third Proportional to 219,210 and 297,062

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Solution

The third proportional to 219,210 and 297,062 is: 402,562.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,210 : 297,062 = 297,062 : x
  2. Step 2: Convert to fraction form
    219,210/297,062 = 297,062/x
  3. Step 3: Cross multiply
    219,210x = 297,062 × 297,062
  4. Step 4: Simplify right side
    219,210x = 88,245,831,844
  5. Step 5: Solve for x
    x = 88,245,831,844/219,210
  6. Step 6: Final answer
    x = 402,562.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.