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Finding the Third Proportional to 408,465 and 610,237.13

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Solution

The third proportional to 408,465 and 610,237.13 is: 911,679.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,465 : 610,237.13 = 610,237.13 : x
  2. Step 2: Convert to fraction form
    408,465/610,237.13 = 610,237.13/x
  3. Step 3: Cross multiply
    408,465x = 610,237.13 × 610,237.13
  4. Step 4: Simplify right side
    408,465x = 372,389,348,728.27
  5. Step 5: Solve for x
    x = 372,389,348,728.27/408,465
  6. Step 6: Final answer
    x = 911,679.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.