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Finding the Third Proportional to 77,284,838 and 166,676,220

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Solution

The third proportional to 77,284,838 and 166,676,220 is: 359,461,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,284,838 : 166,676,220 = 166,676,220 : x
  2. Step 2: Convert to fraction form
    77,284,838/166,676,220 = 166,676,220/x
  3. Step 3: Cross multiply
    77,284,838x = 166,676,220 × 166,676,220
  4. Step 4: Simplify right side
    77,284,838x = 27,780,962,313,488,400
  5. Step 5: Solve for x
    x = 27,780,962,313,488,400/77,284,838
  6. Step 6: Final answer
    x = 359,461,998.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.