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Finding the Third Proportional to 77,879,312 and 121,066,774

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Solution

The third proportional to 77,879,312 and 121,066,774 is: 188,203,559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,879,312 : 121,066,774 = 121,066,774 : x
  2. Step 2: Convert to fraction form
    77,879,312/121,066,774 = 121,066,774/x
  3. Step 3: Cross multiply
    77,879,312x = 121,066,774 × 121,066,774
  4. Step 4: Simplify right side
    77,879,312x = 14,657,163,766,767,076
  5. Step 5: Solve for x
    x = 14,657,163,766,767,076/77,879,312
  6. Step 6: Final answer
    x = 188,203,559.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.