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Finding the Third Proportional to 306,369 and 661,932

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Solution

The third proportional to 306,369 and 661,932 is: 1,430,151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,369 : 661,932 = 661,932 : x
  2. Step 2: Convert to fraction form
    306,369/661,932 = 661,932/x
  3. Step 3: Cross multiply
    306,369x = 661,932 × 661,932
  4. Step 4: Simplify right side
    306,369x = 438,153,972,624
  5. Step 5: Solve for x
    x = 438,153,972,624/306,369
  6. Step 6: Final answer
    x = 1,430,151.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.