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Finding the Third Proportional to 151,539,685 and 221,640,816

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Solution

The third proportional to 151,539,685 and 221,640,816 is: 324,170,208.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,539,685 : 221,640,816 = 221,640,816 : x
  2. Step 2: Convert to fraction form
    151,539,685/221,640,816 = 221,640,816/x
  3. Step 3: Cross multiply
    151,539,685x = 221,640,816 × 221,640,816
  4. Step 4: Simplify right side
    151,539,685x = 49,124,651,317,145,856
  5. Step 5: Solve for x
    x = 49,124,651,317,145,856/151,539,685
  6. Step 6: Final answer
    x = 324,170,208.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.