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Finding the Third Proportional to 315,211 and 473,136

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Solution

The third proportional to 315,211 and 473,136 is: 710,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,211 : 473,136 = 473,136 : x
  2. Step 2: Convert to fraction form
    315,211/473,136 = 473,136/x
  3. Step 3: Cross multiply
    315,211x = 473,136 × 473,136
  4. Step 4: Simplify right side
    315,211x = 223,857,674,496
  5. Step 5: Solve for x
    x = 223,857,674,496/315,211
  6. Step 6: Final answer
    x = 710,183.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.