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Finding the Third Proportional to 121,266,965 and 186,398,013

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Solution

The third proportional to 121,266,965 and 186,398,013 is: 286,510,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,266,965 : 186,398,013 = 186,398,013 : x
  2. Step 2: Convert to fraction form
    121,266,965/186,398,013 = 186,398,013/x
  3. Step 3: Cross multiply
    121,266,965x = 186,398,013 × 186,398,013
  4. Step 4: Simplify right side
    121,266,965x = 34,744,219,250,348,168
  5. Step 5: Solve for x
    x = 34,744,219,250,348,168/121,266,965
  6. Step 6: Final answer
    x = 286,510,174.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.