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Finding the Third Proportional to 313,577.25 and 688,053

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Solution

The third proportional to 313,577.25 and 688,053 is: 1,509,729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,577.25 : 688,053 = 688,053 : x
  2. Step 2: Convert to fraction form
    313,577.25/688,053 = 688,053/x
  3. Step 3: Cross multiply
    313,577.25x = 688,053 × 688,053
  4. Step 4: Simplify right side
    313,577.25x = 473,416,930,809
  5. Step 5: Solve for x
    x = 473,416,930,809/313,577.25
  6. Step 6: Final answer
    x = 1,509,729.84

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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.