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Finding the Third Proportional to 315,469 and 688,034

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Solution

The third proportional to 315,469 and 688,034 is: 1,500,593.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,469 : 688,034 = 688,034 : x
  2. Step 2: Convert to fraction form
    315,469/688,034 = 688,034/x
  3. Step 3: Cross multiply
    315,469x = 688,034 × 688,034
  4. Step 4: Simplify right side
    315,469x = 473,390,785,156
  5. Step 5: Solve for x
    x = 473,390,785,156/315,469
  6. Step 6: Final answer
    x = 1,500,593.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.