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Finding the Third Proportional to 423,146 and 618,509

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Solution

The third proportional to 423,146 and 618,509 is: 904,069.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,146 : 618,509 = 618,509 : x
  2. Step 2: Convert to fraction form
    423,146/618,509 = 618,509/x
  3. Step 3: Cross multiply
    423,146x = 618,509 × 618,509
  4. Step 4: Simplify right side
    423,146x = 382,553,383,081
  5. Step 5: Solve for x
    x = 382,553,383,081/423,146
  6. Step 6: Final answer
    x = 904,069.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.