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Finding the Third Proportional to 76,389,200 and 121,158,013

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Solution

The third proportional to 76,389,200 and 121,158,013 is: 192,164,129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,389,200 : 121,158,013 = 121,158,013 : x
  2. Step 2: Convert to fraction form
    76,389,200/121,158,013 = 121,158,013/x
  3. Step 3: Cross multiply
    76,389,200x = 121,158,013 × 121,158,013
  4. Step 4: Simplify right side
    76,389,200x = 14,679,264,114,108,168
  5. Step 5: Solve for x
    x = 14,679,264,114,108,168/76,389,200
  6. Step 6: Final answer
    x = 192,164,129.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.