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Finding the Third Proportional to 162,240 and 217,020

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Solution

The third proportional to 162,240 and 217,020 is: 290,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,240 : 217,020 = 217,020 : x
  2. Step 2: Convert to fraction form
    162,240/217,020 = 217,020/x
  3. Step 3: Cross multiply
    162,240x = 217,020 × 217,020
  4. Step 4: Simplify right side
    162,240x = 47,097,680,400
  5. Step 5: Solve for x
    x = 47,097,680,400/162,240
  6. Step 6: Final answer
    x = 290,296.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.