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Finding the Third Proportional to 173,239,013.25 and 385,210,161

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Solution

The third proportional to 173,239,013.25 and 385,210,161 is: 856,544,177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,239,013.25 : 385,210,161 = 385,210,161 : x
  2. Step 2: Convert to fraction form
    173,239,013.25/385,210,161 = 385,210,161/x
  3. Step 3: Cross multiply
    173,239,013.25x = 385,210,161 × 385,210,161
  4. Step 4: Simplify right side
    173,239,013.25x = 148,386,868,137,645,920
  5. Step 5: Solve for x
    x = 148,386,868,137,645,920/173,239,013.25
  6. Step 6: Final answer
    x = 856,544,177.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.