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Finding the Third Proportional to 402,795,110 and 621,986,122

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Solution

The third proportional to 402,795,110 and 621,986,122 is: 960,455,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,795,110 : 621,986,122 = 621,986,122 : x
  2. Step 2: Convert to fraction form
    402,795,110/621,986,122 = 621,986,122/x
  3. Step 3: Cross multiply
    402,795,110x = 621,986,122 × 621,986,122
  4. Step 4: Simplify right side
    402,795,110x = 386,866,735,960,598,912
  5. Step 5: Solve for x
    x = 386,866,735,960,598,912/402,795,110
  6. Step 6: Final answer
    x = 960,455,393.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.