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Finding the Third Proportional to 145,298 and 311,332

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Solution

The third proportional to 145,298 and 311,332 is: 667,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,298 : 311,332 = 311,332 : x
  2. Step 2: Convert to fraction form
    145,298/311,332 = 311,332/x
  3. Step 3: Cross multiply
    145,298x = 311,332 × 311,332
  4. Step 4: Simplify right side
    145,298x = 96,927,614,224
  5. Step 5: Solve for x
    x = 96,927,614,224/145,298
  6. Step 6: Final answer
    x = 667,095.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.