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Finding the Third Proportional to 363,618 and 777,780

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Solution

The third proportional to 363,618 and 777,780 is: 1,663,673.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,618 : 777,780 = 777,780 : x
  2. Step 2: Convert to fraction form
    363,618/777,780 = 777,780/x
  3. Step 3: Cross multiply
    363,618x = 777,780 × 777,780
  4. Step 4: Simplify right side
    363,618x = 604,941,728,400
  5. Step 5: Solve for x
    x = 604,941,728,400/363,618
  6. Step 6: Final answer
    x = 1,663,673.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.