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Finding the Third Proportional to 136,116,950 and 209,221,509

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Solution

The third proportional to 136,116,950 and 209,221,509 is: 321,588,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,116,950 : 209,221,509 = 209,221,509 : x
  2. Step 2: Convert to fraction form
    136,116,950/209,221,509 = 209,221,509/x
  3. Step 3: Cross multiply
    136,116,950x = 209,221,509 × 209,221,509
  4. Step 4: Simplify right side
    136,116,950x = 43,773,639,828,237,080
  5. Step 5: Solve for x
    x = 43,773,639,828,237,080/136,116,950
  6. Step 6: Final answer
    x = 321,588,456.31

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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.