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Finding the Third Proportional to 367,386 and 561,618

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Solution

The third proportional to 367,386 and 561,618 is: 858,537.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,386 : 561,618 = 561,618 : x
  2. Step 2: Convert to fraction form
    367,386/561,618 = 561,618/x
  3. Step 3: Cross multiply
    367,386x = 561,618 × 561,618
  4. Step 4: Simplify right side
    367,386x = 315,414,777,924
  5. Step 5: Solve for x
    x = 315,414,777,924/367,386
  6. Step 6: Final answer
    x = 858,537.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.