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Finding the Third Proportional to 264,618 and 399,392

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Solution

The third proportional to 264,618 and 399,392 is: 602,808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,618 : 399,392 = 399,392 : x
  2. Step 2: Convert to fraction form
    264,618/399,392 = 399,392/x
  3. Step 3: Cross multiply
    264,618x = 399,392 × 399,392
  4. Step 4: Simplify right side
    264,618x = 159,513,969,664
  5. Step 5: Solve for x
    x = 159,513,969,664/264,618
  6. Step 6: Final answer
    x = 602,808.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.