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Finding the Third Proportional to 101,773,252,436 and 223,735,417,042

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Solution

The third proportional to 101,773,252,436 and 223,735,417,042 is: 491,853,563,100.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,773,252,436 : 223,735,417,042 = 223,735,417,042 : x
  2. Step 2: Convert to fraction form
    101,773,252,436/223,735,417,042 = 223,735,417,042/x
  3. Step 3: Cross multiply
    101,773,252,436x = 223,735,417,042 × 223,735,417,042
  4. Step 4: Simplify right side
    101,773,252,436x = 50,057,536,838,957,661,159,424
  5. Step 5: Solve for x
    x = 50,057,536,838,957,661,159,424/101,773,252,436
  6. Step 6: Final answer
    x = 491,853,563,100.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.