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Finding the Third Proportional to 237,210 and 369,420

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Solution

The third proportional to 237,210 and 369,420 is: 575,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,210 : 369,420 = 369,420 : x
  2. Step 2: Convert to fraction form
    237,210/369,420 = 369,420/x
  3. Step 3: Cross multiply
    237,210x = 369,420 × 369,420
  4. Step 4: Simplify right side
    237,210x = 136,471,136,400
  5. Step 5: Solve for x
    x = 136,471,136,400/237,210
  6. Step 6: Final answer
    x = 575,317.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.