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Finding the Third Proportional to 157,109,900,204 and 344,637,086,200

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Solution

The third proportional to 157,109,900,204 and 344,637,086,200 is: 755,997,687,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,109,900,204 : 344,637,086,200 = 344,637,086,200 : x
  2. Step 2: Convert to fraction form
    157,109,900,204/344,637,086,200 = 344,637,086,200/x
  3. Step 3: Cross multiply
    157,109,900,204x = 344,637,086,200 × 344,637,086,200
  4. Step 4: Simplify right side
    157,109,900,204x = 118,774,721,184,426,228,711,424
  5. Step 5: Solve for x
    x = 118,774,721,184,426,228,711,424/157,109,900,204
  6. Step 6: Final answer
    x = 755,997,687,161.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.