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Finding the Third Proportional to 289,669.22 and 424,133.72

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Solution

The third proportional to 289,669.22 and 424,133.72 is: 621,016.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,669.22 : 424,133.72 = 424,133.72 : x
  2. Step 2: Convert to fraction form
    289,669.22/424,133.72 = 424,133.72/x
  3. Step 3: Cross multiply
    289,669.22x = 424,133.72 × 424,133.72
  4. Step 4: Simplify right side
    289,669.22x = 179,889,411,380.70
  5. Step 5: Solve for x
    x = 179,889,411,380.70/289,669.22
  6. Step 6: Final answer
    x = 621,016.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.