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Finding the Third Proportional to 400,612 and 535,113

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Solution

The third proportional to 400,612 and 535,113 is: 714,771.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,612 : 535,113 = 535,113 : x
  2. Step 2: Convert to fraction form
    400,612/535,113 = 535,113/x
  3. Step 3: Cross multiply
    400,612x = 535,113 × 535,113
  4. Step 4: Simplify right side
    400,612x = 286,345,922,769
  5. Step 5: Solve for x
    x = 286,345,922,769/400,612
  6. Step 6: Final answer
    x = 714,771.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.