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Finding the Third Proportional to 388,618 and 840,438

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Solution

The third proportional to 388,618 and 840,438 is: 1,817,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,618 : 840,438 = 840,438 : x
  2. Step 2: Convert to fraction form
    388,618/840,438 = 840,438/x
  3. Step 3: Cross multiply
    388,618x = 840,438 × 840,438
  4. Step 4: Simplify right side
    388,618x = 706,336,031,844
  5. Step 5: Solve for x
    x = 706,336,031,844/388,618
  6. Step 6: Final answer
    x = 1,817,558.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.