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Finding the Third Proportional to 145,692 and 315,576

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Solution

The third proportional to 145,692 and 315,576 is: 683,553.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,692 : 315,576 = 315,576 : x
  2. Step 2: Convert to fraction form
    145,692/315,576 = 315,576/x
  3. Step 3: Cross multiply
    145,692x = 315,576 × 315,576
  4. Step 4: Simplify right side
    145,692x = 99,588,211,776
  5. Step 5: Solve for x
    x = 99,588,211,776/145,692
  6. Step 6: Final answer
    x = 683,553.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.