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Finding the Third Proportional to 313,056 and 670,428

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Solution

The third proportional to 313,056 and 670,428 is: 1,435,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,056 : 670,428 = 670,428 : x
  2. Step 2: Convert to fraction form
    313,056/670,428 = 670,428/x
  3. Step 3: Cross multiply
    313,056x = 670,428 × 670,428
  4. Step 4: Simplify right side
    313,056x = 449,473,703,184
  5. Step 5: Solve for x
    x = 449,473,703,184/313,056
  6. Step 6: Final answer
    x = 1,435,761.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.