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Finding the Third Proportional to 310,420,372.50 and 486,958,186.50

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Solution

The third proportional to 310,420,372.50 and 486,958,186.50 is: 763,894,049.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,420,372.50 : 486,958,186.50 = 486,958,186.50 : x
  2. Step 2: Convert to fraction form
    310,420,372.50/486,958,186.50 = 486,958,186.50/x
  3. Step 3: Cross multiply
    310,420,372.50x = 486,958,186.50 × 486,958,186.50
  4. Step 4: Simplify right side
    310,420,372.50x = 237,128,275,399,368,768
  5. Step 5: Solve for x
    x = 237,128,275,399,368,768/310,420,372.50
  6. Step 6: Final answer
    x = 763,894,049.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.