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Finding the Third Proportional to 209,618 and 296,319

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Solution

The third proportional to 209,618 and 296,319 is: 418,880.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,618 : 296,319 = 296,319 : x
  2. Step 2: Convert to fraction form
    209,618/296,319 = 296,319/x
  3. Step 3: Cross multiply
    209,618x = 296,319 × 296,319
  4. Step 4: Simplify right side
    209,618x = 87,804,949,761
  5. Step 5: Solve for x
    x = 87,804,949,761/209,618
  6. Step 6: Final answer
    x = 418,880.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.