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Finding the Third Proportional to 153,419 and 317,491

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Solution

The third proportional to 153,419 and 317,491 is: 657,027.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,419 : 317,491 = 317,491 : x
  2. Step 2: Convert to fraction form
    153,419/317,491 = 317,491/x
  3. Step 3: Cross multiply
    153,419x = 317,491 × 317,491
  4. Step 4: Simplify right side
    153,419x = 100,800,535,081
  5. Step 5: Solve for x
    x = 100,800,535,081/153,419
  6. Step 6: Final answer
    x = 657,027.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.