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Finding the Third Proportional to 142,746 and 310,920

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Solution

The third proportional to 142,746 and 310,920 is: 677,225.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,746 : 310,920 = 310,920 : x
  2. Step 2: Convert to fraction form
    142,746/310,920 = 310,920/x
  3. Step 3: Cross multiply
    142,746x = 310,920 × 310,920
  4. Step 4: Simplify right side
    142,746x = 96,671,246,400
  5. Step 5: Solve for x
    x = 96,671,246,400/142,746
  6. Step 6: Final answer
    x = 677,225.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.