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Finding the Third Proportional to 509,220 and 1,116,369

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Solution

The third proportional to 509,220 and 1,116,369 is: 2,447,428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,220 : 1,116,369 = 1,116,369 : x
  2. Step 2: Convert to fraction form
    509,220/1,116,369 = 1,116,369/x
  3. Step 3: Cross multiply
    509,220x = 1,116,369 × 1,116,369
  4. Step 4: Simplify right side
    509,220x = 1,246,279,744,161
  5. Step 5: Solve for x
    x = 1,246,279,744,161/509,220
  6. Step 6: Final answer
    x = 2,447,428.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.