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Finding the Third Proportional to 421,602 and 616,629

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Solution

The third proportional to 421,602 and 616,629 is: 901,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,602 : 616,629 = 616,629 : x
  2. Step 2: Convert to fraction form
    421,602/616,629 = 616,629/x
  3. Step 3: Cross multiply
    421,602x = 616,629 × 616,629
  4. Step 4: Simplify right side
    421,602x = 380,231,323,641
  5. Step 5: Solve for x
    x = 380,231,323,641/421,602
  6. Step 6: Final answer
    x = 901,872.68

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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.