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Finding the Third Proportional to 315,133 and 674,564

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Solution

The third proportional to 315,133 and 674,564 is: 1,443,950.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,133 : 674,564 = 674,564 : x
  2. Step 2: Convert to fraction form
    315,133/674,564 = 674,564/x
  3. Step 3: Cross multiply
    315,133x = 674,564 × 674,564
  4. Step 4: Simplify right side
    315,133x = 455,036,590,096
  5. Step 5: Solve for x
    x = 455,036,590,096/315,133
  6. Step 6: Final answer
    x = 1,443,950.94

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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.