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Finding the Third Proportional to 142,223.34 and 310,690.69

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Solution

The third proportional to 142,223.34 and 310,690.69 is: 678,712.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,223.34 : 310,690.69 = 310,690.69 : x
  2. Step 2: Convert to fraction form
    142,223.34/310,690.69 = 310,690.69/x
  3. Step 3: Cross multiply
    142,223.34x = 310,690.69 × 310,690.69
  4. Step 4: Simplify right side
    142,223.34x = 96,528,703,299.22
  5. Step 5: Solve for x
    x = 96,528,703,299.22/142,223.34
  6. Step 6: Final answer
    x = 678,712.09

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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.