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Finding the Third Proportional to 291,010 and 425,215

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Solution

The third proportional to 291,010 and 425,215 is: 621,311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,010 : 425,215 = 425,215 : x
  2. Step 2: Convert to fraction form
    291,010/425,215 = 425,215/x
  3. Step 3: Cross multiply
    291,010x = 425,215 × 425,215
  4. Step 4: Simplify right side
    291,010x = 180,807,796,225
  5. Step 5: Solve for x
    x = 180,807,796,225/291,010
  6. Step 6: Final answer
    x = 621,311.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.