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Finding the Third Proportional to 143,792 and 310,040

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Solution

The third proportional to 143,792 and 310,040 is: 668,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,792 : 310,040 = 310,040 : x
  2. Step 2: Convert to fraction form
    143,792/310,040 = 310,040/x
  3. Step 3: Cross multiply
    143,792x = 310,040 × 310,040
  4. Step 4: Simplify right side
    143,792x = 96,124,801,600
  5. Step 5: Solve for x
    x = 96,124,801,600/143,792
  6. Step 6: Final answer
    x = 668,498.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.