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Finding the Third Proportional to 380,373,357.38 and 581,872,632.75

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Solution

The third proportional to 380,373,357.38 and 581,872,632.75 is: 890,114,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,373,357.38 : 581,872,632.75 = 581,872,632.75 : x
  2. Step 2: Convert to fraction form
    380,373,357.38/581,872,632.75 = 581,872,632.75/x
  3. Step 3: Cross multiply
    380,373,357.38x = 581,872,632.75 × 581,872,632.75
  4. Step 4: Simplify right side
    380,373,357.38x = 338,575,760,743,416,384
  5. Step 5: Solve for x
    x = 338,575,760,743,416,384/380,373,357.38
  6. Step 6: Final answer
    x = 890,114,289.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.