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Finding the Third Proportional to 239,309 and 370,502

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Solution

The third proportional to 239,309 and 370,502 is: 573,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,309 : 370,502 = 370,502 : x
  2. Step 2: Convert to fraction form
    239,309/370,502 = 370,502/x
  3. Step 3: Cross multiply
    239,309x = 370,502 × 370,502
  4. Step 4: Simplify right side
    239,309x = 137,271,732,004
  5. Step 5: Solve for x
    x = 137,271,732,004/239,309
  6. Step 6: Final answer
    x = 573,617.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.