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Finding the Third Proportional to 423,154 and 618,520

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Solution

The third proportional to 423,154 and 618,520 is: 904,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,154 : 618,520 = 618,520 : x
  2. Step 2: Convert to fraction form
    423,154/618,520 = 618,520/x
  3. Step 3: Cross multiply
    423,154x = 618,520 × 618,520
  4. Step 4: Simplify right side
    423,154x = 382,566,990,400
  5. Step 5: Solve for x
    x = 382,566,990,400/423,154
  6. Step 6: Final answer
    x = 904,084.54

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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.