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Finding the Third Proportional to 229,670 and 487,136

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Solution

The third proportional to 229,670 and 487,136 is: 1,033,228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,670 : 487,136 = 487,136 : x
  2. Step 2: Convert to fraction form
    229,670/487,136 = 487,136/x
  3. Step 3: Cross multiply
    229,670x = 487,136 × 487,136
  4. Step 4: Simplify right side
    229,670x = 237,301,482,496
  5. Step 5: Solve for x
    x = 237,301,482,496/229,670
  6. Step 6: Final answer
    x = 1,033,228.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.