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Finding the Third Proportional to 97,498 and 212,840

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Solution

The third proportional to 97,498 and 212,840 is: 464,633.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,498 : 212,840 = 212,840 : x
  2. Step 2: Convert to fraction form
    97,498/212,840 = 212,840/x
  3. Step 3: Cross multiply
    97,498x = 212,840 × 212,840
  4. Step 4: Simplify right side
    97,498x = 45,300,865,600
  5. Step 5: Solve for x
    x = 45,300,865,600/97,498
  6. Step 6: Final answer
    x = 464,633.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.