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Finding the Third Proportional to 142,251 and 310,746

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Solution

The third proportional to 142,251 and 310,746 is: 678,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,251 : 310,746 = 310,746 : x
  2. Step 2: Convert to fraction form
    142,251/310,746 = 310,746/x
  3. Step 3: Cross multiply
    142,251x = 310,746 × 310,746
  4. Step 4: Simplify right side
    142,251x = 96,563,076,516
  5. Step 5: Solve for x
    x = 96,563,076,516/142,251
  6. Step 6: Final answer
    x = 678,821.78

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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.