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Finding the Third Proportional to 150,113 and 319,297

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Solution

The third proportional to 150,113 and 319,297 is: 679,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,113 : 319,297 = 319,297 : x
  2. Step 2: Convert to fraction form
    150,113/319,297 = 319,297/x
  3. Step 3: Cross multiply
    150,113x = 319,297 × 319,297
  4. Step 4: Simplify right side
    150,113x = 101,950,574,209
  5. Step 5: Solve for x
    x = 101,950,574,209/150,113
  6. Step 6: Final answer
    x = 679,158.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.