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Finding the Third Proportional to 48,932,128 and 68,578,044

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Solution

The third proportional to 48,932,128 and 68,578,044 is: 96,111,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,932,128 : 68,578,044 = 68,578,044 : x
  2. Step 2: Convert to fraction form
    48,932,128/68,578,044 = 68,578,044/x
  3. Step 3: Cross multiply
    48,932,128x = 68,578,044 × 68,578,044
  4. Step 4: Simplify right side
    48,932,128x = 4,702,948,118,865,936
  5. Step 5: Solve for x
    x = 4,702,948,118,865,936/48,932,128
  6. Step 6: Final answer
    x = 96,111,661.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.