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Finding the Third Proportional to 255,788,964 and 395,906,670

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Solution

The third proportional to 255,788,964 and 395,906,670 is: 612,778,944.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,788,964 : 395,906,670 = 395,906,670 : x
  2. Step 2: Convert to fraction form
    255,788,964/395,906,670 = 395,906,670/x
  3. Step 3: Cross multiply
    255,788,964x = 395,906,670 × 395,906,670
  4. Step 4: Simplify right side
    255,788,964x = 156,742,091,350,488,896
  5. Step 5: Solve for x
    x = 156,742,091,350,488,896/255,788,964
  6. Step 6: Final answer
    x = 612,778,944.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.