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Finding the Third Proportional to 212,850 and 309,915

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Solution

The third proportional to 212,850 and 309,915 is: 451,244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,850 : 309,915 = 309,915 : x
  2. Step 2: Convert to fraction form
    212,850/309,915 = 309,915/x
  3. Step 3: Cross multiply
    212,850x = 309,915 × 309,915
  4. Step 4: Simplify right side
    212,850x = 96,047,307,225
  5. Step 5: Solve for x
    x = 96,047,307,225/212,850
  6. Step 6: Final answer
    x = 451,244.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.