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Finding the Third Proportional to 136,620,590 and 209,864,199

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Solution

The third proportional to 136,620,590 and 209,864,199 is: 322,374,409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,620,590 : 209,864,199 = 209,864,199 : x
  2. Step 2: Convert to fraction form
    136,620,590/209,864,199 = 209,864,199/x
  3. Step 3: Cross multiply
    136,620,590x = 209,864,199 × 209,864,199
  4. Step 4: Simplify right side
    136,620,590x = 44,042,982,021,911,600
  5. Step 5: Solve for x
    x = 44,042,982,021,911,600/136,620,590
  6. Step 6: Final answer
    x = 322,374,409.46

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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.