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Finding the Third Proportional to 421,614 and 616,646

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Solution

The third proportional to 421,614 and 616,646 is: 901,896.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,614 : 616,646 = 616,646 : x
  2. Step 2: Convert to fraction form
    421,614/616,646 = 616,646/x
  3. Step 3: Cross multiply
    421,614x = 616,646 × 616,646
  4. Step 4: Simplify right side
    421,614x = 380,252,289,316
  5. Step 5: Solve for x
    x = 380,252,289,316/421,614
  6. Step 6: Final answer
    x = 901,896.73

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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.