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Finding the Third Proportional to 142,531.50 and 309,871.13

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Solution

The third proportional to 142,531.50 and 309,871.13 is: 673,676.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,531.50 : 309,871.13 = 309,871.13 : x
  2. Step 2: Convert to fraction form
    142,531.50/309,871.13 = 309,871.13/x
  3. Step 3: Cross multiply
    142,531.50x = 309,871.13 × 309,871.13
  4. Step 4: Simplify right side
    142,531.50x = 96,020,114,108.77
  5. Step 5: Solve for x
    x = 96,020,114,108.77/142,531.50
  6. Step 6: Final answer
    x = 673,676.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.