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Finding the Third Proportional to 355,986 and 777,618

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Solution

The third proportional to 355,986 and 777,618 is: 1,698,633.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,986 : 777,618 = 777,618 : x
  2. Step 2: Convert to fraction form
    355,986/777,618 = 777,618/x
  3. Step 3: Cross multiply
    355,986x = 777,618 × 777,618
  4. Step 4: Simplify right side
    355,986x = 604,689,753,924
  5. Step 5: Solve for x
    x = 604,689,753,924/355,986
  6. Step 6: Final answer
    x = 1,698,633.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.