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Finding the Third Proportional to 421,698 and 616,730.25

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Solution

The third proportional to 421,698 and 616,730.25 is: 901,963.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,698 : 616,730.25 = 616,730.25 : x
  2. Step 2: Convert to fraction form
    421,698/616,730.25 = 616,730.25/x
  3. Step 3: Cross multiply
    421,698x = 616,730.25 × 616,730.25
  4. Step 4: Simplify right side
    421,698x = 380,356,201,265.06
  5. Step 5: Solve for x
    x = 380,356,201,265.06/421,698
  6. Step 6: Final answer
    x = 901,963.49

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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.