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Finding the Third Proportional to 317,741 and 661,618

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Solution

The third proportional to 317,741 and 661,618 is: 1,377,657.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,741 : 661,618 = 661,618 : x
  2. Step 2: Convert to fraction form
    317,741/661,618 = 661,618/x
  3. Step 3: Cross multiply
    317,741x = 661,618 × 661,618
  4. Step 4: Simplify right side
    317,741x = 437,738,377,924
  5. Step 5: Solve for x
    x = 437,738,377,924/317,741
  6. Step 6: Final answer
    x = 1,377,657.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.