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Finding the Third Proportional to 142,112 and 310,970

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Solution

The third proportional to 142,112 and 310,970 is: 680,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,112 : 310,970 = 310,970 : x
  2. Step 2: Convert to fraction form
    142,112/310,970 = 310,970/x
  3. Step 3: Cross multiply
    142,112x = 310,970 × 310,970
  4. Step 4: Simplify right side
    142,112x = 96,702,340,900
  5. Step 5: Solve for x
    x = 96,702,340,900/142,112
  6. Step 6: Final answer
    x = 680,465.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.