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Finding the Third Proportional to 315,506 and 689,236

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Solution

The third proportional to 315,506 and 689,236 is: 1,505,664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,506 : 689,236 = 689,236 : x
  2. Step 2: Convert to fraction form
    315,506/689,236 = 689,236/x
  3. Step 3: Cross multiply
    315,506x = 689,236 × 689,236
  4. Step 4: Simplify right side
    315,506x = 475,046,263,696
  5. Step 5: Solve for x
    x = 475,046,263,696/315,506
  6. Step 6: Final answer
    x = 1,505,664.75

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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.