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Finding the Third Proportional to 315,024 and 685,344

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Solution

The third proportional to 315,024 and 685,344 is: 1,490,986.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,024 : 685,344 = 685,344 : x
  2. Step 2: Convert to fraction form
    315,024/685,344 = 685,344/x
  3. Step 3: Cross multiply
    315,024x = 685,344 × 685,344
  4. Step 4: Simplify right side
    315,024x = 469,696,398,336
  5. Step 5: Solve for x
    x = 469,696,398,336/315,024
  6. Step 6: Final answer
    x = 1,490,986.08

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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.