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Finding the Third Proportional to 319,798.13 and 479,205

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Solution

The third proportional to 319,798.13 and 479,205 is: 718,069.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,798.13 : 479,205 = 479,205 : x
  2. Step 2: Convert to fraction form
    319,798.13/479,205 = 479,205/x
  3. Step 3: Cross multiply
    319,798.13x = 479,205 × 479,205
  4. Step 4: Simplify right side
    319,798.13x = 229,637,432,025
  5. Step 5: Solve for x
    x = 229,637,432,025/319,798.13
  6. Step 6: Final answer
    x = 718,069.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.