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Finding the Third Proportional to 83,285,406 and 124,438,220

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Solution

The third proportional to 83,285,406 and 124,438,220 is: 185,925,378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,285,406 : 124,438,220 = 124,438,220 : x
  2. Step 2: Convert to fraction form
    83,285,406/124,438,220 = 124,438,220/x
  3. Step 3: Cross multiply
    83,285,406x = 124,438,220 × 124,438,220
  4. Step 4: Simplify right side
    83,285,406x = 15,484,870,596,768,400
  5. Step 5: Solve for x
    x = 15,484,870,596,768,400/83,285,406
  6. Step 6: Final answer
    x = 185,925,378.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.