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Finding the Third Proportional to 77,665,824 and 120,590,988

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Solution

The third proportional to 77,665,824 and 120,590,988 is: 187,240,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,665,824 : 120,590,988 = 120,590,988 : x
  2. Step 2: Convert to fraction form
    77,665,824/120,590,988 = 120,590,988/x
  3. Step 3: Cross multiply
    77,665,824x = 120,590,988 × 120,590,988
  4. Step 4: Simplify right side
    77,665,824x = 14,542,186,386,816,144
  5. Step 5: Solve for x
    x = 14,542,186,386,816,144/77,665,824
  6. Step 6: Final answer
    x = 187,240,482.85

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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.