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Finding the Third Proportional to 313,358 and 688,924

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Solution

The third proportional to 313,358 and 688,924 is: 1,514,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,358 : 688,924 = 688,924 : x
  2. Step 2: Convert to fraction form
    313,358/688,924 = 688,924/x
  3. Step 3: Cross multiply
    313,358x = 688,924 × 688,924
  4. Step 4: Simplify right side
    313,358x = 474,616,277,776
  5. Step 5: Solve for x
    x = 474,616,277,776/313,358
  6. Step 6: Final answer
    x = 1,514,613.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.