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Finding the Third Proportional to 315,566 and 686,428

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Solution

The third proportional to 315,566 and 686,428 is: 1,493,137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,566 : 686,428 = 686,428 : x
  2. Step 2: Convert to fraction form
    315,566/686,428 = 686,428/x
  3. Step 3: Cross multiply
    315,566x = 686,428 × 686,428
  4. Step 4: Simplify right side
    315,566x = 471,183,399,184
  5. Step 5: Solve for x
    x = 471,183,399,184/315,566
  6. Step 6: Final answer
    x = 1,493,137.41

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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.