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Finding the Third Proportional to 310,380 and 661,464

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Solution

The third proportional to 310,380 and 661,464 is: 1,409,674.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,380 : 661,464 = 661,464 : x
  2. Step 2: Convert to fraction form
    310,380/661,464 = 661,464/x
  3. Step 3: Cross multiply
    310,380x = 661,464 × 661,464
  4. Step 4: Simplify right side
    310,380x = 437,534,623,296
  5. Step 5: Solve for x
    x = 437,534,623,296/310,380
  6. Step 6: Final answer
    x = 1,409,674.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.