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Finding the Third Proportional to 421,544 and 616,524

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Solution

The third proportional to 421,544 and 616,524 is: 901,689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,544 : 616,524 = 616,524 : x
  2. Step 2: Convert to fraction form
    421,544/616,524 = 616,524/x
  3. Step 3: Cross multiply
    421,544x = 616,524 × 616,524
  4. Step 4: Simplify right side
    421,544x = 380,101,842,576
  5. Step 5: Solve for x
    x = 380,101,842,576/421,544
  6. Step 6: Final answer
    x = 901,689.60

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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.