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Finding the Third Proportional to 127,683,756 and 198,112,716

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Solution

The third proportional to 127,683,756 and 198,112,716 is: 307,389,518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,683,756 : 198,112,716 = 198,112,716 : x
  2. Step 2: Convert to fraction form
    127,683,756/198,112,716 = 198,112,716/x
  3. Step 3: Cross multiply
    127,683,756x = 198,112,716 × 198,112,716
  4. Step 4: Simplify right side
    127,683,756x = 39,248,648,240,896,656
  5. Step 5: Solve for x
    x = 39,248,648,240,896,656/127,683,756
  6. Step 6: Final answer
    x = 307,389,518.22

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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.