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Finding the Third Proportional to 256,690,563.50 and 560,419,137

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Solution

The third proportional to 256,690,563.50 and 560,419,137 is: 1,223,533,911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,690,563.50 : 560,419,137 = 560,419,137 : x
  2. Step 2: Convert to fraction form
    256,690,563.50/560,419,137 = 560,419,137/x
  3. Step 3: Cross multiply
    256,690,563.50x = 560,419,137 × 560,419,137
  4. Step 4: Simplify right side
    256,690,563.50x = 314,069,609,115,824,768
  5. Step 5: Solve for x
    x = 314,069,609,115,824,768/256,690,563.50
  6. Step 6: Final answer
    x = 1,223,533,911.16

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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.