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Finding the Third Proportional to 219,215 and 297,069

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Solution

The third proportional to 219,215 and 297,069 is: 402,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,215 : 297,069 = 297,069 : x
  2. Step 2: Convert to fraction form
    219,215/297,069 = 297,069/x
  3. Step 3: Cross multiply
    219,215x = 297,069 × 297,069
  4. Step 4: Simplify right side
    219,215x = 88,249,990,761
  5. Step 5: Solve for x
    x = 88,249,990,761/219,215
  6. Step 6: Final answer
    x = 402,572.77

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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.