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Finding the Third Proportional to 239,294 and 348,555

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Solution

The third proportional to 239,294 and 348,555 is: 507,704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,294 : 348,555 = 348,555 : x
  2. Step 2: Convert to fraction form
    239,294/348,555 = 348,555/x
  3. Step 3: Cross multiply
    239,294x = 348,555 × 348,555
  4. Step 4: Simplify right side
    239,294x = 121,490,588,025
  5. Step 5: Solve for x
    x = 121,490,588,025/239,294
  6. Step 6: Final answer
    x = 507,704.28

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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.