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Finding the Third Proportional to 517,673,254 and 728,142,009

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Solution

The third proportional to 517,673,254 and 728,142,009 is: 1,024,180,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,673,254 : 728,142,009 = 728,142,009 : x
  2. Step 2: Convert to fraction form
    517,673,254/728,142,009 = 728,142,009/x
  3. Step 3: Cross multiply
    517,673,254x = 728,142,009 × 728,142,009
  4. Step 4: Simplify right side
    517,673,254x = 530,190,785,270,556,096
  5. Step 5: Solve for x
    x = 530,190,785,270,556,096/517,673,254
  6. Step 6: Final answer
    x = 1,024,180,370.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.