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Finding the Third Proportional to 148,354 and 320,576

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Solution

The third proportional to 148,354 and 320,576 is: 692,728.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,354 : 320,576 = 320,576 : x
  2. Step 2: Convert to fraction form
    148,354/320,576 = 320,576/x
  3. Step 3: Cross multiply
    148,354x = 320,576 × 320,576
  4. Step 4: Simplify right side
    148,354x = 102,768,971,776
  5. Step 5: Solve for x
    x = 102,768,971,776/148,354
  6. Step 6: Final answer
    x = 692,728.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.