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Finding the Third Proportional to 306,864 and 656,369

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Solution

The third proportional to 306,864 and 656,369 is: 1,403,945.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,864 : 656,369 = 656,369 : x
  2. Step 2: Convert to fraction form
    306,864/656,369 = 656,369/x
  3. Step 3: Cross multiply
    306,864x = 656,369 × 656,369
  4. Step 4: Simplify right side
    306,864x = 430,820,264,161
  5. Step 5: Solve for x
    x = 430,820,264,161/306,864
  6. Step 6: Final answer
    x = 1,403,945.28

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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.