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Finding the Third Proportional to 385,618 and 830,434

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Solution

The third proportional to 385,618 and 830,434 is: 1,788,351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,618 : 830,434 = 830,434 : x
  2. Step 2: Convert to fraction form
    385,618/830,434 = 830,434/x
  3. Step 3: Cross multiply
    385,618x = 830,434 × 830,434
  4. Step 4: Simplify right side
    385,618x = 689,620,628,356
  5. Step 5: Solve for x
    x = 689,620,628,356/385,618
  6. Step 6: Final answer
    x = 1,788,351.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.