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Finding the Third Proportional to 390,372,223.50 and 520,438,222.50

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Solution

The third proportional to 390,372,223.50 and 520,438,222.50 is: 693,840,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,372,223.50 : 520,438,222.50 = 520,438,222.50 : x
  2. Step 2: Convert to fraction form
    390,372,223.50/520,438,222.50 = 520,438,222.50/x
  3. Step 3: Cross multiply
    390,372,223.50x = 520,438,222.50 × 520,438,222.50
  4. Step 4: Simplify right side
    390,372,223.50x = 270,855,943,438,959,520
  5. Step 5: Solve for x
    x = 270,855,943,438,959,520/390,372,223.50
  6. Step 6: Final answer
    x = 693,840,204.64

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.