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Finding the Third Proportional to 310,595 and 665,484

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Solution

The third proportional to 310,595 and 665,484 is: 1,425,872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,595 : 665,484 = 665,484 : x
  2. Step 2: Convert to fraction form
    310,595/665,484 = 665,484/x
  3. Step 3: Cross multiply
    310,595x = 665,484 × 665,484
  4. Step 4: Simplify right side
    310,595x = 442,868,954,256
  5. Step 5: Solve for x
    x = 442,868,954,256/310,595
  6. Step 6: Final answer
    x = 1,425,872.77

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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.