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Finding the Third Proportional to 77,557,311 and 117,947,421

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Solution

The third proportional to 77,557,311 and 117,947,421 is: 179,371,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,557,311 : 117,947,421 = 117,947,421 : x
  2. Step 2: Convert to fraction form
    77,557,311/117,947,421 = 117,947,421/x
  3. Step 3: Cross multiply
    77,557,311x = 117,947,421 × 117,947,421
  4. Step 4: Simplify right side
    77,557,311x = 13,911,594,120,551,240
  5. Step 5: Solve for x
    x = 13,911,594,120,551,240/77,557,311
  6. Step 6: Final answer
    x = 179,371,795.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.