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Finding the Third Proportional to 143,507 and 315,531

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Solution

The third proportional to 143,507 and 315,531 is: 693,762.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,507 : 315,531 = 315,531 : x
  2. Step 2: Convert to fraction form
    143,507/315,531 = 315,531/x
  3. Step 3: Cross multiply
    143,507x = 315,531 × 315,531
  4. Step 4: Simplify right side
    143,507x = 99,559,811,961
  5. Step 5: Solve for x
    x = 99,559,811,961/143,507
  6. Step 6: Final answer
    x = 693,762.76

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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.