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Finding the Third Proportional to 290,790 and 424,905.75

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Solution

The third proportional to 290,790 and 424,905.75 is: 620,877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,790 : 424,905.75 = 424,905.75 : x
  2. Step 2: Convert to fraction form
    290,790/424,905.75 = 424,905.75/x
  3. Step 3: Cross multiply
    290,790x = 424,905.75 × 424,905.75
  4. Step 4: Simplify right side
    290,790x = 180,544,896,383.06
  5. Step 5: Solve for x
    x = 180,544,896,383.06/290,790
  6. Step 6: Final answer
    x = 620,877.25

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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.