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Finding the Third Proportional to 292,878 and 439,290

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Solution

The third proportional to 292,878 and 439,290 is: 658,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,878 : 439,290 = 439,290 : x
  2. Step 2: Convert to fraction form
    292,878/439,290 = 439,290/x
  3. Step 3: Cross multiply
    292,878x = 439,290 × 439,290
  4. Step 4: Simplify right side
    292,878x = 192,975,704,100
  5. Step 5: Solve for x
    x = 192,975,704,100/292,878
  6. Step 6: Final answer
    x = 658,894.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.