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Finding the Third Proportional to 257,891 and 560,618

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Solution

The third proportional to 257,891 and 560,618 is: 1,218,703.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,891 : 560,618 = 560,618 : x
  2. Step 2: Convert to fraction form
    257,891/560,618 = 560,618/x
  3. Step 3: Cross multiply
    257,891x = 560,618 × 560,618
  4. Step 4: Simplify right side
    257,891x = 314,292,541,924
  5. Step 5: Solve for x
    x = 314,292,541,924/257,891
  6. Step 6: Final answer
    x = 1,218,703.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.