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Finding the Third Proportional to 239,475 and 348,682.50

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Solution

The third proportional to 239,475 and 348,682.50 is: 507,691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,475 : 348,682.50 = 348,682.50 : x
  2. Step 2: Convert to fraction form
    239,475/348,682.50 = 348,682.50/x
  3. Step 3: Cross multiply
    239,475x = 348,682.50 × 348,682.50
  4. Step 4: Simplify right side
    239,475x = 121,579,485,806.25
  5. Step 5: Solve for x
    x = 121,579,485,806.25/239,475
  6. Step 6: Final answer
    x = 507,691.77

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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.