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Finding the Third Proportional to 290,767.50 and 424,873.13

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Solution

The third proportional to 290,767.50 and 424,873.13 is: 620,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,767.50 : 424,873.13 = 424,873.13 : x
  2. Step 2: Convert to fraction form
    290,767.50/424,873.13 = 424,873.13/x
  3. Step 3: Cross multiply
    290,767.50x = 424,873.13 × 424,873.13
  4. Step 4: Simplify right side
    290,767.50x = 180,517,172,347.27
  5. Step 5: Solve for x
    x = 180,517,172,347.27/290,767.50
  6. Step 6: Final answer
    x = 620,829.95

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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.