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Finding the Third Proportional to 266,904 and 630,018

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Solution

The third proportional to 266,904 and 630,018 is: 1,487,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,904 : 630,018 = 630,018 : x
  2. Step 2: Convert to fraction form
    266,904/630,018 = 630,018/x
  3. Step 3: Cross multiply
    266,904x = 630,018 × 630,018
  4. Step 4: Simplify right side
    266,904x = 396,922,680,324
  5. Step 5: Solve for x
    x = 396,922,680,324/266,904
  6. Step 6: Final answer
    x = 1,487,136.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.