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Finding the Third Proportional to 290,640 and 424,476

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Solution

The third proportional to 290,640 and 424,476 is: 619,941.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,640 : 424,476 = 424,476 : x
  2. Step 2: Convert to fraction form
    290,640/424,476 = 424,476/x
  3. Step 3: Cross multiply
    290,640x = 424,476 × 424,476
  4. Step 4: Simplify right side
    290,640x = 180,179,874,576
  5. Step 5: Solve for x
    x = 180,179,874,576/290,640
  6. Step 6: Final answer
    x = 619,941.76

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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.