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Finding the Third Proportional to 77,054,024.25 and 116,234,220.38

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Solution

The third proportional to 77,054,024.25 and 116,234,220.38 is: 175,336,643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,054,024.25 : 116,234,220.38 = 116,234,220.38 : x
  2. Step 2: Convert to fraction form
    77,054,024.25/116,234,220.38 = 116,234,220.38/x
  3. Step 3: Cross multiply
    77,054,024.25x = 116,234,220.38 × 116,234,220.38
  4. Step 4: Simplify right side
    77,054,024.25x = 13,510,393,986,184,066
  5. Step 5: Solve for x
    x = 13,510,393,986,184,066/77,054,024.25
  6. Step 6: Final answer
    x = 175,336,643.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.