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Finding the Third Proportional to 150,846 and 314,207

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Solution

The third proportional to 150,846 and 314,207 is: 654,482.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,846 : 314,207 = 314,207 : x
  2. Step 2: Convert to fraction form
    150,846/314,207 = 314,207/x
  3. Step 3: Cross multiply
    150,846x = 314,207 × 314,207
  4. Step 4: Simplify right side
    150,846x = 98,726,038,849
  5. Step 5: Solve for x
    x = 98,726,038,849/150,846
  6. Step 6: Final answer
    x = 654,482.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.