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Finding the Third Proportional to 212,768 and 317,646

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Solution

The third proportional to 212,768 and 317,646 is: 474,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,768 : 317,646 = 317,646 : x
  2. Step 2: Convert to fraction form
    212,768/317,646 = 317,646/x
  3. Step 3: Cross multiply
    212,768x = 317,646 × 317,646
  4. Step 4: Simplify right side
    212,768x = 100,898,981,316
  5. Step 5: Solve for x
    x = 100,898,981,316/212,768
  6. Step 6: Final answer
    x = 474,220.66

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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.