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Finding the Third Proportional to 77,307,664 and 165,681,680

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Solution

The third proportional to 77,307,664 and 165,681,680 is: 355,080,177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,307,664 : 165,681,680 = 165,681,680 : x
  2. Step 2: Convert to fraction form
    77,307,664/165,681,680 = 165,681,680/x
  3. Step 3: Cross multiply
    77,307,664x = 165,681,680 × 165,681,680
  4. Step 4: Simplify right side
    77,307,664x = 27,450,419,087,622,400
  5. Step 5: Solve for x
    x = 27,450,419,087,622,400/77,307,664
  6. Step 6: Final answer
    x = 355,080,177.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.