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Finding the Third Proportional to 386,720,331 and 613,362,451.50

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Solution

The third proportional to 386,720,331 and 613,362,451.50 is: 972,830,923.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,720,331 : 613,362,451.50 = 613,362,451.50 : x
  2. Step 2: Convert to fraction form
    386,720,331/613,362,451.50 = 613,362,451.50/x
  3. Step 3: Cross multiply
    386,720,331x = 613,362,451.50 × 613,362,451.50
  4. Step 4: Simplify right side
    386,720,331x = 376,213,496,910,089,856
  5. Step 5: Solve for x
    x = 376,213,496,910,089,856/386,720,331
  6. Step 6: Final answer
    x = 972,830,923.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.