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Finding the Third Proportional to 256,690,646 and 560,419,276

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Solution

The third proportional to 256,690,646 and 560,419,276 is: 1,223,534,124.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,690,646 : 560,419,276 = 560,419,276 : x
  2. Step 2: Convert to fraction form
    256,690,646/560,419,276 = 560,419,276/x
  3. Step 3: Cross multiply
    256,690,646x = 560,419,276 × 560,419,276
  4. Step 4: Simplify right side
    256,690,646x = 314,069,764,912,364,160
  5. Step 5: Solve for x
    x = 314,069,764,912,364,160/256,690,646
  6. Step 6: Final answer
    x = 1,223,534,124.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.