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Finding the Third Proportional to 124,933,488,480 and 190,327,527,846

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Solution

The third proportional to 124,933,488,480 and 190,327,527,846 is: 289,950,823,407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,933,488,480 : 190,327,527,846 = 190,327,527,846 : x
  2. Step 2: Convert to fraction form
    124,933,488,480/190,327,527,846 = 190,327,527,846/x
  3. Step 3: Cross multiply
    124,933,488,480x = 190,327,527,846 × 190,327,527,846
  4. Step 4: Simplify right side
    124,933,488,480x = 36,224,567,855,969,904,623,616
  5. Step 5: Solve for x
    x = 36,224,567,855,969,904,623,616/124,933,488,480
  6. Step 6: Final answer
    x = 289,950,823,407.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.