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Finding the Third Proportional to 140,742 and 310,284

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Solution

The third proportional to 140,742 and 310,284 is: 684,061.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,742 : 310,284 = 310,284 : x
  2. Step 2: Convert to fraction form
    140,742/310,284 = 310,284/x
  3. Step 3: Cross multiply
    140,742x = 310,284 × 310,284
  4. Step 4: Simplify right side
    140,742x = 96,276,160,656
  5. Step 5: Solve for x
    x = 96,276,160,656/140,742
  6. Step 6: Final answer
    x = 684,061.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.