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Finding the Third Proportional to 217,032 and 345,240

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Solution

The third proportional to 217,032 and 345,240 is: 549,184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,032 : 345,240 = 345,240 : x
  2. Step 2: Convert to fraction form
    217,032/345,240 = 345,240/x
  3. Step 3: Cross multiply
    217,032x = 345,240 × 345,240
  4. Step 4: Simplify right side
    217,032x = 119,190,657,600
  5. Step 5: Solve for x
    x = 119,190,657,600/217,032
  6. Step 6: Final answer
    x = 549,184.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.