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Finding the Third Proportional to 292,858 and 442,407

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Solution

The third proportional to 292,858 and 442,407 is: 668,323.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,858 : 442,407 = 442,407 : x
  2. Step 2: Convert to fraction form
    292,858/442,407 = 442,407/x
  3. Step 3: Cross multiply
    292,858x = 442,407 × 442,407
  4. Step 4: Simplify right side
    292,858x = 195,723,953,649
  5. Step 5: Solve for x
    x = 195,723,953,649/292,858
  6. Step 6: Final answer
    x = 668,323.74

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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.