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Finding the Third Proportional to 97,218 and 212,724

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Solution

The third proportional to 97,218 and 212,724 is: 465,464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,218 : 212,724 = 212,724 : x
  2. Step 2: Convert to fraction form
    97,218/212,724 = 212,724/x
  3. Step 3: Cross multiply
    97,218x = 212,724 × 212,724
  4. Step 4: Simplify right side
    97,218x = 45,251,500,176
  5. Step 5: Solve for x
    x = 45,251,500,176/97,218
  6. Step 6: Final answer
    x = 465,464.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.