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Finding the Third Proportional to 120,410 and 190,820

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Solution

The third proportional to 120,410 and 190,820 is: 302,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,410 : 190,820 = 190,820 : x
  2. Step 2: Convert to fraction form
    120,410/190,820 = 190,820/x
  3. Step 3: Cross multiply
    120,410x = 190,820 × 190,820
  4. Step 4: Simplify right side
    120,410x = 36,412,272,400
  5. Step 5: Solve for x
    x = 36,412,272,400/120,410
  6. Step 6: Final answer
    x = 302,402.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.