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Finding the Third Proportional to 140,588 and 292,842

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Solution

The third proportional to 140,588 and 292,842 is: 609,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,588 : 292,842 = 292,842 : x
  2. Step 2: Convert to fraction form
    140,588/292,842 = 292,842/x
  3. Step 3: Cross multiply
    140,588x = 292,842 × 292,842
  4. Step 4: Simplify right side
    140,588x = 85,756,436,964
  5. Step 5: Solve for x
    x = 85,756,436,964/140,588
  6. Step 6: Final answer
    x = 609,984.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.