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Finding the Third Proportional to 315,376 and 689,024

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Solution

The third proportional to 315,376 and 689,024 is: 1,505,358.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,376 : 689,024 = 689,024 : x
  2. Step 2: Convert to fraction form
    315,376/689,024 = 689,024/x
  3. Step 3: Cross multiply
    315,376x = 689,024 × 689,024
  4. Step 4: Simplify right side
    315,376x = 474,754,072,576
  5. Step 5: Solve for x
    x = 474,754,072,576/315,376
  6. Step 6: Final answer
    x = 1,505,358.91

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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.