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Finding the Third Proportional to 454,419 and 712,904

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Solution

The third proportional to 454,419 and 712,904 is: 1,118,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,419 : 712,904 = 712,904 : x
  2. Step 2: Convert to fraction form
    454,419/712,904 = 712,904/x
  3. Step 3: Cross multiply
    454,419x = 712,904 × 712,904
  4. Step 4: Simplify right side
    454,419x = 508,232,113,216
  5. Step 5: Solve for x
    x = 508,232,113,216/454,419
  6. Step 6: Final answer
    x = 1,118,421.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.