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Finding the Third Proportional to 97,858 and 212,720

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Solution

The third proportional to 97,858 and 212,720 is: 462,402.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,858 : 212,720 = 212,720 : x
  2. Step 2: Convert to fraction form
    97,858/212,720 = 212,720/x
  3. Step 3: Cross multiply
    97,858x = 212,720 × 212,720
  4. Step 4: Simplify right side
    97,858x = 45,249,798,400
  5. Step 5: Solve for x
    x = 45,249,798,400/97,858
  6. Step 6: Final answer
    x = 462,402.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.