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Finding the Third Proportional to 313,590 and 688,086

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Solution

The third proportional to 313,590 and 688,086 is: 1,509,813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,590 : 688,086 = 688,086 : x
  2. Step 2: Convert to fraction form
    313,590/688,086 = 688,086/x
  3. Step 3: Cross multiply
    313,590x = 688,086 × 688,086
  4. Step 4: Simplify right side
    313,590x = 473,462,343,396
  5. Step 5: Solve for x
    x = 473,462,343,396/313,590
  6. Step 6: Final answer
    x = 1,509,813.27

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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.