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Finding the Third Proportional to 232,510 and 350,476

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Solution

The third proportional to 232,510 and 350,476 is: 528,293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,510 : 350,476 = 350,476 : x
  2. Step 2: Convert to fraction form
    232,510/350,476 = 350,476/x
  3. Step 3: Cross multiply
    232,510x = 350,476 × 350,476
  4. Step 4: Simplify right side
    232,510x = 122,833,426,576
  5. Step 5: Solve for x
    x = 122,833,426,576/232,510
  6. Step 6: Final answer
    x = 528,293.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.