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Finding the Third Proportional to 538,438 and 833,618

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Solution

The third proportional to 538,438 and 833,618 is: 1,290,620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,438 : 833,618 = 833,618 : x
  2. Step 2: Convert to fraction form
    538,438/833,618 = 833,618/x
  3. Step 3: Cross multiply
    538,438x = 833,618 × 833,618
  4. Step 4: Simplify right side
    538,438x = 694,918,969,924
  5. Step 5: Solve for x
    x = 694,918,969,924/538,438
  6. Step 6: Final answer
    x = 1,290,620.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.