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Finding the Third Proportional to 310,420,369.50 and 486,958,182

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Solution

The third proportional to 310,420,369.50 and 486,958,182 is: 763,894,042.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,420,369.50 : 486,958,182 = 486,958,182 : x
  2. Step 2: Convert to fraction form
    310,420,369.50/486,958,182 = 486,958,182/x
  3. Step 3: Cross multiply
    310,420,369.50x = 486,958,182 × 486,958,182
  4. Step 4: Simplify right side
    310,420,369.50x = 237,128,271,016,745,120
  5. Step 5: Solve for x
    x = 237,128,271,016,745,120/310,420,369.50
  6. Step 6: Final answer
    x = 763,894,042.77

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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.