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Finding the Third Proportional to 315,136 and 674,572

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Solution

The third proportional to 315,136 and 674,572 is: 1,443,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,136 : 674,572 = 674,572 : x
  2. Step 2: Convert to fraction form
    315,136/674,572 = 674,572/x
  3. Step 3: Cross multiply
    315,136x = 674,572 × 674,572
  4. Step 4: Simplify right side
    315,136x = 455,047,383,184
  5. Step 5: Solve for x
    x = 455,047,383,184/315,136
  6. Step 6: Final answer
    x = 1,443,971.44

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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.