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Finding the Third Proportional to 212,770 and 317,649

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Solution

The third proportional to 212,770 and 317,649 is: 474,225.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,770 : 317,649 = 317,649 : x
  2. Step 2: Convert to fraction form
    212,770/317,649 = 317,649/x
  3. Step 3: Cross multiply
    212,770x = 317,649 × 317,649
  4. Step 4: Simplify right side
    212,770x = 100,900,887,201
  5. Step 5: Solve for x
    x = 100,900,887,201/212,770
  6. Step 6: Final answer
    x = 474,225.16

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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.