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Finding the Third Proportional to 217,560 and 461,220

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Solution

The third proportional to 217,560 and 461,220 is: 977,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,560 : 461,220 = 461,220 : x
  2. Step 2: Convert to fraction form
    217,560/461,220 = 461,220/x
  3. Step 3: Cross multiply
    217,560x = 461,220 × 461,220
  4. Step 4: Simplify right side
    217,560x = 212,723,888,400
  5. Step 5: Solve for x
    x = 212,723,888,400/217,560
  6. Step 6: Final answer
    x = 977,771.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.