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Finding the Third Proportional to 315,117.75 and 476,428.69

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Solution

The third proportional to 315,117.75 and 476,428.69 is: 720,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,117.75 : 476,428.69 = 476,428.69 : x
  2. Step 2: Convert to fraction form
    315,117.75/476,428.69 = 476,428.69/x
  3. Step 3: Cross multiply
    315,117.75x = 476,428.69 × 476,428.69
  4. Step 4: Simplify right side
    315,117.75x = 226,984,294,272.97
  5. Step 5: Solve for x
    x = 226,984,294,272.97/315,117.75
  6. Step 6: Final answer
    x = 720,315.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.