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Finding the Third Proportional to 32,822,546 and 71,822,116

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Solution

The third proportional to 32,822,546 and 71,822,116 is: 157,160,762.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,822,546 : 71,822,116 = 71,822,116 : x
  2. Step 2: Convert to fraction form
    32,822,546/71,822,116 = 71,822,116/x
  3. Step 3: Cross multiply
    32,822,546x = 71,822,116 × 71,822,116
  4. Step 4: Simplify right side
    32,822,546x = 5,158,416,346,717,456
  5. Step 5: Solve for x
    x = 5,158,416,346,717,456/32,822,546
  6. Step 6: Final answer
    x = 157,160,762.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.