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Finding the Third Proportional to 298,542.38 and 439,004.81

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Solution

The third proportional to 298,542.38 and 439,004.81 is: 645,554.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,542.38 : 439,004.81 = 439,004.81 : x
  2. Step 2: Convert to fraction form
    298,542.38/439,004.81 = 439,004.81/x
  3. Step 3: Cross multiply
    298,542.38x = 439,004.81 × 439,004.81
  4. Step 4: Simplify right side
    298,542.38x = 192,725,225,398.16
  5. Step 5: Solve for x
    x = 192,725,225,398.16/298,542.38
  6. Step 6: Final answer
    x = 645,554.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.