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Finding the Third Proportional to 209,376 and 429,840

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Solution

The third proportional to 209,376 and 429,840 is: 882,443.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,376 : 429,840 = 429,840 : x
  2. Step 2: Convert to fraction form
    209,376/429,840 = 429,840/x
  3. Step 3: Cross multiply
    209,376x = 429,840 × 429,840
  4. Step 4: Simplify right side
    209,376x = 184,762,425,600
  5. Step 5: Solve for x
    x = 184,762,425,600/209,376
  6. Step 6: Final answer
    x = 882,443.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.