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Finding the Third Proportional to 315,741.38 and 486,064.13

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Solution

The third proportional to 315,741.38 and 486,064.13 is: 748,265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,741.38 : 486,064.13 = 486,064.13 : x
  2. Step 2: Convert to fraction form
    315,741.38/486,064.13 = 486,064.13/x
  3. Step 3: Cross multiply
    315,741.38x = 486,064.13 × 486,064.13
  4. Step 4: Simplify right side
    315,741.38x = 236,258,333,612.02
  5. Step 5: Solve for x
    x = 236,258,333,612.02/315,741.38
  6. Step 6: Final answer
    x = 748,265.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.