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Finding the Third Proportional to 185,508,802.13 and 402,982,796.25

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Solution

The third proportional to 185,508,802.13 and 402,982,796.25 is: 875,403,928.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,508,802.13 : 402,982,796.25 = 402,982,796.25 : x
  2. Step 2: Convert to fraction form
    185,508,802.13/402,982,796.25 = 402,982,796.25/x
  3. Step 3: Cross multiply
    185,508,802.13x = 402,982,796.25 × 402,982,796.25
  4. Step 4: Simplify right side
    185,508,802.13x = 162,395,134,073,469,024
  5. Step 5: Solve for x
    x = 162,395,134,073,469,024/185,508,802.13
  6. Step 6: Final answer
    x = 875,403,928.08

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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.