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Finding the Third Proportional to 315,469 and 688,033

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Solution

The third proportional to 315,469 and 688,033 is: 1,500,589.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,469 : 688,033 = 688,033 : x
  2. Step 2: Convert to fraction form
    315,469/688,033 = 688,033/x
  3. Step 3: Cross multiply
    315,469x = 688,033 × 688,033
  4. Step 4: Simplify right side
    315,469x = 473,389,409,089
  5. Step 5: Solve for x
    x = 473,389,409,089/315,469
  6. Step 6: Final answer
    x = 1,500,589.31

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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.