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Finding the Third Proportional to 318,400 and 473,152

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Solution

The third proportional to 318,400 and 473,152 is: 703,118.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,400 : 473,152 = 473,152 : x
  2. Step 2: Convert to fraction form
    318,400/473,152 = 473,152/x
  3. Step 3: Cross multiply
    318,400x = 473,152 × 473,152
  4. Step 4: Simplify right side
    318,400x = 223,872,815,104
  5. Step 5: Solve for x
    x = 223,872,815,104/318,400
  6. Step 6: Final answer
    x = 703,118.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.