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Finding the Third Proportional to 602,856 and 842,880

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Solution

The third proportional to 602,856 and 842,880 is: 1,178,468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,856 : 842,880 = 842,880 : x
  2. Step 2: Convert to fraction form
    602,856/842,880 = 842,880/x
  3. Step 3: Cross multiply
    602,856x = 842,880 × 842,880
  4. Step 4: Simplify right side
    602,856x = 710,446,694,400
  5. Step 5: Solve for x
    x = 710,446,694,400/602,856
  6. Step 6: Final answer
    x = 1,178,468.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.