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Finding the Third Proportional to 307,966 and 658,492

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Solution

The third proportional to 307,966 and 658,492 is: 1,407,985.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,966 : 658,492 = 658,492 : x
  2. Step 2: Convert to fraction form
    307,966/658,492 = 658,492/x
  3. Step 3: Cross multiply
    307,966x = 658,492 × 658,492
  4. Step 4: Simplify right side
    307,966x = 433,611,714,064
  5. Step 5: Solve for x
    x = 433,611,714,064/307,966
  6. Step 6: Final answer
    x = 1,407,985.67

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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.