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Finding the Third Proportional to 314,567 and 684,428

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Solution

The third proportional to 314,567 and 684,428 is: 1,489,163.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,567 : 684,428 = 684,428 : x
  2. Step 2: Convert to fraction form
    314,567/684,428 = 684,428/x
  3. Step 3: Cross multiply
    314,567x = 684,428 × 684,428
  4. Step 4: Simplify right side
    314,567x = 468,441,687,184
  5. Step 5: Solve for x
    x = 468,441,687,184/314,567
  6. Step 6: Final answer
    x = 1,489,163.48

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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.