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Finding the Third Proportional to 426,465 and 911,979

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Solution

The third proportional to 426,465 and 911,979 is: 1,950,232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,465 : 911,979 = 911,979 : x
  2. Step 2: Convert to fraction form
    426,465/911,979 = 911,979/x
  3. Step 3: Cross multiply
    426,465x = 911,979 × 911,979
  4. Step 4: Simplify right side
    426,465x = 831,705,696,441
  5. Step 5: Solve for x
    x = 831,705,696,441/426,465
  6. Step 6: Final answer
    x = 1,950,232.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.