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Finding the Third Proportional to 421,608 and 616,638

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Solution

The third proportional to 421,608 and 616,638 is: 901,886.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,608 : 616,638 = 616,638 : x
  2. Step 2: Convert to fraction form
    421,608/616,638 = 616,638/x
  3. Step 3: Cross multiply
    421,608x = 616,638 × 616,638
  4. Step 4: Simplify right side
    421,608x = 380,242,423,044
  5. Step 5: Solve for x
    x = 380,242,423,044/421,608
  6. Step 6: Final answer
    x = 901,886.17

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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.