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Finding the Third Proportional to 142,045 and 310,818

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Solution

The third proportional to 142,045 and 310,818 is: 680,121.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,045 : 310,818 = 310,818 : x
  2. Step 2: Convert to fraction form
    142,045/310,818 = 310,818/x
  3. Step 3: Cross multiply
    142,045x = 310,818 × 310,818
  4. Step 4: Simplify right side
    142,045x = 96,607,829,124
  5. Step 5: Solve for x
    x = 96,607,829,124/142,045
  6. Step 6: Final answer
    x = 680,121.29

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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.