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Finding the Third Proportional to 156,115,988,879 and 210,637,125,111

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Solution

The third proportional to 156,115,988,879 and 210,637,125,111 is: 284,198,939,478.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,115,988,879 : 210,637,125,111 = 210,637,125,111 : x
  2. Step 2: Convert to fraction form
    156,115,988,879/210,637,125,111 = 210,637,125,111/x
  3. Step 3: Cross multiply
    156,115,988,879x = 210,637,125,111 × 210,637,125,111
  4. Step 4: Simplify right side
    156,115,988,879x = 44,367,998,475,027,070,582,784
  5. Step 5: Solve for x
    x = 44,367,998,475,027,070,582,784/156,115,988,879
  6. Step 6: Final answer
    x = 284,198,939,478.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.