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Finding the Third Proportional to 402,795,040 and 621,986,016

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Solution

The third proportional to 402,795,040 and 621,986,016 is: 960,455,233.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,795,040 : 621,986,016 = 621,986,016 : x
  2. Step 2: Convert to fraction form
    402,795,040/621,986,016 = 621,986,016/x
  3. Step 3: Cross multiply
    402,795,040x = 621,986,016 × 621,986,016
  4. Step 4: Simplify right side
    402,795,040x = 386,866,604,099,552,256
  5. Step 5: Solve for x
    x = 386,866,604,099,552,256/402,795,040
  6. Step 6: Final answer
    x = 960,455,233.26

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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.