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Finding the Third Proportional to 400,160 and 610,403

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Solution

The third proportional to 400,160 and 610,403 is: 931,107.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,160 : 610,403 = 610,403 : x
  2. Step 2: Convert to fraction form
    400,160/610,403 = 610,403/x
  3. Step 3: Cross multiply
    400,160x = 610,403 × 610,403
  4. Step 4: Simplify right side
    400,160x = 372,591,822,409
  5. Step 5: Solve for x
    x = 372,591,822,409/400,160
  6. Step 6: Final answer
    x = 931,107.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.