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Finding the Third Proportional to 145,215 and 319,095

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Solution

The third proportional to 145,215 and 319,095 is: 701,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,215 : 319,095 = 319,095 : x
  2. Step 2: Convert to fraction form
    145,215/319,095 = 319,095/x
  3. Step 3: Cross multiply
    145,215x = 319,095 × 319,095
  4. Step 4: Simplify right side
    145,215x = 101,821,619,025
  5. Step 5: Solve for x
    x = 101,821,619,025/145,215
  6. Step 6: Final answer
    x = 701,178.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.