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Finding the Third Proportional to 151,422,127 and 328,687,128

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Solution

The third proportional to 151,422,127 and 328,687,128 is: 713,470,549.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,422,127 : 328,687,128 = 328,687,128 : x
  2. Step 2: Convert to fraction form
    151,422,127/328,687,128 = 328,687,128/x
  3. Step 3: Cross multiply
    151,422,127x = 328,687,128 × 328,687,128
  4. Step 4: Simplify right side
    151,422,127x = 108,035,228,112,888,384
  5. Step 5: Solve for x
    x = 108,035,228,112,888,384/151,422,127
  6. Step 6: Final answer
    x = 713,470,549.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.