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Finding the Third Proportional to 286,482 and 623,940

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Solution

The third proportional to 286,482 and 623,940 is: 1,358,902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,482 : 623,940 = 623,940 : x
  2. Step 2: Convert to fraction form
    286,482/623,940 = 623,940/x
  3. Step 3: Cross multiply
    286,482x = 623,940 × 623,940
  4. Step 4: Simplify right side
    286,482x = 389,301,123,600
  5. Step 5: Solve for x
    x = 389,301,123,600/286,482
  6. Step 6: Final answer
    x = 1,358,902.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.