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Finding the Third Proportional to 454,034 and 684,507

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Solution

The third proportional to 454,034 and 684,507 is: 1,031,970.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,034 : 684,507 = 684,507 : x
  2. Step 2: Convert to fraction form
    454,034/684,507 = 684,507/x
  3. Step 3: Cross multiply
    454,034x = 684,507 × 684,507
  4. Step 4: Simplify right side
    454,034x = 468,549,833,049
  5. Step 5: Solve for x
    x = 468,549,833,049/454,034
  6. Step 6: Final answer
    x = 1,031,970.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.