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Finding the Third Proportional to 121,160,890 and 187,964,097

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Solution

The third proportional to 121,160,890 and 187,964,097 is: 291,599,886.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,160,890 : 187,964,097 = 187,964,097 : x
  2. Step 2: Convert to fraction form
    121,160,890/187,964,097 = 187,964,097/x
  3. Step 3: Cross multiply
    121,160,890x = 187,964,097 × 187,964,097
  4. Step 4: Simplify right side
    121,160,890x = 35,330,501,761,025,408
  5. Step 5: Solve for x
    x = 35,330,501,761,025,408/121,160,890
  6. Step 6: Final answer
    x = 291,599,886.41

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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.