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Finding the Third Proportional to 616,608 and 920,736

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Solution

The third proportional to 616,608 and 920,736 is: 1,374,868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,608 : 920,736 = 920,736 : x
  2. Step 2: Convert to fraction form
    616,608/920,736 = 920,736/x
  3. Step 3: Cross multiply
    616,608x = 920,736 × 920,736
  4. Step 4: Simplify right side
    616,608x = 847,754,781,696
  5. Step 5: Solve for x
    x = 847,754,781,696/616,608
  6. Step 6: Final answer
    x = 1,374,868.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.