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Finding the Third Proportional to 136,117,040 and 209,221,644

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Solution

The third proportional to 136,117,040 and 209,221,644 is: 321,588,658.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,117,040 : 209,221,644 = 209,221,644 : x
  2. Step 2: Convert to fraction form
    136,117,040/209,221,644 = 209,221,644/x
  3. Step 3: Cross multiply
    136,117,040x = 209,221,644 × 209,221,644
  4. Step 4: Simplify right side
    136,117,040x = 43,773,696,318,062,736
  5. Step 5: Solve for x
    x = 43,773,696,318,062,736/136,117,040
  6. Step 6: Final answer
    x = 321,588,658.69

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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.