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Finding the Third Proportional to 145,356 and 311,728

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Solution

The third proportional to 145,356 and 311,728 is: 668,526.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,356 : 311,728 = 311,728 : x
  2. Step 2: Convert to fraction form
    145,356/311,728 = 311,728/x
  3. Step 3: Cross multiply
    145,356x = 311,728 × 311,728
  4. Step 4: Simplify right side
    145,356x = 97,174,345,984
  5. Step 5: Solve for x
    x = 97,174,345,984/145,356
  6. Step 6: Final answer
    x = 668,526.56

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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.