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Finding the Third Proportional to 104,844,783 and 164,112,070.50

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Solution

The third proportional to 104,844,783 and 164,112,070.50 is: 256,882,325.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,844,783 : 164,112,070.50 = 164,112,070.50 : x
  2. Step 2: Convert to fraction form
    104,844,783/164,112,070.50 = 164,112,070.50/x
  3. Step 3: Cross multiply
    104,844,783x = 164,112,070.50 × 164,112,070.50
  4. Step 4: Simplify right side
    104,844,783x = 26,932,771,683,796,972
  5. Step 5: Solve for x
    x = 26,932,771,683,796,972/104,844,783
  6. Step 6: Final answer
    x = 256,882,325.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.