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Finding the Third Proportional to 148,038 and 317,228

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Solution

The third proportional to 148,038 and 317,228 is: 679,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,038 : 317,228 = 317,228 : x
  2. Step 2: Convert to fraction form
    148,038/317,228 = 317,228/x
  3. Step 3: Cross multiply
    148,038x = 317,228 × 317,228
  4. Step 4: Simplify right side
    148,038x = 100,633,603,984
  5. Step 5: Solve for x
    x = 100,633,603,984/148,038
  6. Step 6: Final answer
    x = 679,782.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.