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Finding the Third Proportional to 290,643.19 and 424,480.50

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Solution

The third proportional to 290,643.19 and 424,480.50 is: 619,948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,643.19 : 424,480.50 = 424,480.50 : x
  2. Step 2: Convert to fraction form
    290,643.19/424,480.50 = 424,480.50/x
  3. Step 3: Cross multiply
    290,643.19x = 424,480.50 × 424,480.50
  4. Step 4: Simplify right side
    290,643.19x = 180,183,694,880.25
  5. Step 5: Solve for x
    x = 180,183,694,880.25/290,643.19
  6. Step 6: Final answer
    x = 619,948.11

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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.