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Finding the Third Proportional to 145,395 and 311,850

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Solution

The third proportional to 145,395 and 311,850 is: 668,870.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,395 : 311,850 = 311,850 : x
  2. Step 2: Convert to fraction form
    145,395/311,850 = 311,850/x
  3. Step 3: Cross multiply
    145,395x = 311,850 × 311,850
  4. Step 4: Simplify right side
    145,395x = 97,250,422,500
  5. Step 5: Solve for x
    x = 97,250,422,500/145,395
  6. Step 6: Final answer
    x = 668,870.47

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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.