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Finding the Third Proportional to 138,316 and 219,570

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Solution

The third proportional to 138,316 and 219,570 is: 348,556.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,316 : 219,570 = 219,570 : x
  2. Step 2: Convert to fraction form
    138,316/219,570 = 219,570/x
  3. Step 3: Cross multiply
    138,316x = 219,570 × 219,570
  4. Step 4: Simplify right side
    138,316x = 48,210,984,900
  5. Step 5: Solve for x
    x = 48,210,984,900/138,316
  6. Step 6: Final answer
    x = 348,556.82

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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.