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Finding the Third Proportional to 376,174 and 510,315

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Solution

The third proportional to 376,174 and 510,315 is: 692,289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,174 : 510,315 = 510,315 : x
  2. Step 2: Convert to fraction form
    376,174/510,315 = 510,315/x
  3. Step 3: Cross multiply
    376,174x = 510,315 × 510,315
  4. Step 4: Simplify right side
    376,174x = 260,421,399,225
  5. Step 5: Solve for x
    x = 260,421,399,225/376,174
  6. Step 6: Final answer
    x = 692,289.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.