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Finding the Third Proportional to 145,611 and 311,457

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Solution

The third proportional to 145,611 and 311,457 is: 666,195.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,611 : 311,457 = 311,457 : x
  2. Step 2: Convert to fraction form
    145,611/311,457 = 311,457/x
  3. Step 3: Cross multiply
    145,611x = 311,457 × 311,457
  4. Step 4: Simplify right side
    145,611x = 97,005,462,849
  5. Step 5: Solve for x
    x = 97,005,462,849/145,611
  6. Step 6: Final answer
    x = 666,195.98

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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.