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Finding the Third Proportional to 320,624 and 689,520

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Solution

The third proportional to 320,624 and 689,520 is: 1,482,851.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,624 : 689,520 = 689,520 : x
  2. Step 2: Convert to fraction form
    320,624/689,520 = 689,520/x
  3. Step 3: Cross multiply
    320,624x = 689,520 × 689,520
  4. Step 4: Simplify right side
    320,624x = 475,437,830,400
  5. Step 5: Solve for x
    x = 475,437,830,400/320,624
  6. Step 6: Final answer
    x = 1,482,851.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.