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Finding the Third Proportional to 212,554.78 and 317,698.13

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Solution

The third proportional to 212,554.78 and 317,698.13 is: 474,852.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,554.78 : 317,698.13 = 317,698.13 : x
  2. Step 2: Convert to fraction form
    212,554.78/317,698.13 = 317,698.13/x
  3. Step 3: Cross multiply
    212,554.78x = 317,698.13 × 317,698.13
  4. Step 4: Simplify right side
    212,554.78x = 100,932,098,628.52
  5. Step 5: Solve for x
    x = 100,932,098,628.52/212,554.78
  6. Step 6: Final answer
    x = 474,852.17

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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.