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Finding the Third Proportional to 103,635,005,666 and 159,223,732,131

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Solution

The third proportional to 103,635,005,666 and 159,223,732,131 is: 244,629,666,499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,635,005,666 : 159,223,732,131 = 159,223,732,131 : x
  2. Step 2: Convert to fraction form
    103,635,005,666/159,223,732,131 = 159,223,732,131/x
  3. Step 3: Cross multiply
    103,635,005,666x = 159,223,732,131 × 159,223,732,131
  4. Step 4: Simplify right side
    103,635,005,666x = 25,352,196,873,724,440,346,624
  5. Step 5: Solve for x
    x = 25,352,196,873,724,440,346,624/103,635,005,666
  6. Step 6: Final answer
    x = 244,629,666,499.28

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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.