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Finding the Third Proportional to 105,793,200 and 163,406,344

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Solution

The third proportional to 105,793,200 and 163,406,344 is: 252,394,608.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,793,200 : 163,406,344 = 163,406,344 : x
  2. Step 2: Convert to fraction form
    105,793,200/163,406,344 = 163,406,344/x
  3. Step 3: Cross multiply
    105,793,200x = 163,406,344 × 163,406,344
  4. Step 4: Simplify right side
    105,793,200x = 26,701,633,259,446,336
  5. Step 5: Solve for x
    x = 26,701,633,259,446,336/105,793,200
  6. Step 6: Final answer
    x = 252,394,608.15

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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.