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Finding the Third Proportional to 209,666 and 332,139

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Solution

The third proportional to 209,666 and 332,139 is: 526,152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,666 : 332,139 = 332,139 : x
  2. Step 2: Convert to fraction form
    209,666/332,139 = 332,139/x
  3. Step 3: Cross multiply
    209,666x = 332,139 × 332,139
  4. Step 4: Simplify right side
    209,666x = 110,316,315,321
  5. Step 5: Solve for x
    x = 110,316,315,321/209,666
  6. Step 6: Final answer
    x = 526,152.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.