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Finding the Third Proportional to 280,426 and 611,602

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Solution

The third proportional to 280,426 and 611,602 is: 1,333,888.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,426 : 611,602 = 611,602 : x
  2. Step 2: Convert to fraction form
    280,426/611,602 = 611,602/x
  3. Step 3: Cross multiply
    280,426x = 611,602 × 611,602
  4. Step 4: Simplify right side
    280,426x = 374,057,006,404
  5. Step 5: Solve for x
    x = 374,057,006,404/280,426
  6. Step 6: Final answer
    x = 1,333,888.46

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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.