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Finding the Third Proportional to 315,648 and 689,536

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Solution

The third proportional to 315,648 and 689,536 is: 1,506,297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,648 : 689,536 = 689,536 : x
  2. Step 2: Convert to fraction form
    315,648/689,536 = 689,536/x
  3. Step 3: Cross multiply
    315,648x = 689,536 × 689,536
  4. Step 4: Simplify right side
    315,648x = 475,459,895,296
  5. Step 5: Solve for x
    x = 475,459,895,296/315,648
  6. Step 6: Final answer
    x = 1,506,297.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.