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Finding the Third Proportional to 313,598 and 687,242

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Solution

The third proportional to 313,598 and 687,242 is: 1,506,073.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,598 : 687,242 = 687,242 : x
  2. Step 2: Convert to fraction form
    313,598/687,242 = 687,242/x
  3. Step 3: Cross multiply
    313,598x = 687,242 × 687,242
  4. Step 4: Simplify right side
    313,598x = 472,301,566,564
  5. Step 5: Solve for x
    x = 472,301,566,564/313,598
  6. Step 6: Final answer
    x = 1,506,073.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.