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Finding the Third Proportional to 314,570 and 684,436

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Solution

The third proportional to 314,570 and 684,436 is: 1,489,184.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,570 : 684,436 = 684,436 : x
  2. Step 2: Convert to fraction form
    314,570/684,436 = 684,436/x
  3. Step 3: Cross multiply
    314,570x = 684,436 × 684,436
  4. Step 4: Simplify right side
    314,570x = 468,452,638,096
  5. Step 5: Solve for x
    x = 468,452,638,096/314,570
  6. Step 6: Final answer
    x = 1,489,184.09

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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.