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Finding the Third Proportional to 304,490 and 653,863

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Solution

The third proportional to 304,490 and 653,863 is: 1,404,107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,490 : 653,863 = 653,863 : x
  2. Step 2: Convert to fraction form
    304,490/653,863 = 653,863/x
  3. Step 3: Cross multiply
    304,490x = 653,863 × 653,863
  4. Step 4: Simplify right side
    304,490x = 427,536,822,769
  5. Step 5: Solve for x
    x = 427,536,822,769/304,490
  6. Step 6: Final answer
    x = 1,404,107.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.