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Finding the Third Proportional to 151,118,820 and 320,397,924

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Solution

The third proportional to 151,118,820 and 320,397,924 is: 679,298,777.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,118,820 : 320,397,924 = 320,397,924 : x
  2. Step 2: Convert to fraction form
    151,118,820/320,397,924 = 320,397,924/x
  3. Step 3: Cross multiply
    151,118,820x = 320,397,924 × 320,397,924
  4. Step 4: Simplify right side
    151,118,820x = 102,654,829,703,509,776
  5. Step 5: Solve for x
    x = 102,654,829,703,509,776/151,118,820
  6. Step 6: Final answer
    x = 679,298,777.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.