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Finding the Third Proportional to 353,918 and 770,038

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Solution

The third proportional to 353,918 and 770,038 is: 1,675,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,918 : 770,038 = 770,038 : x
  2. Step 2: Convert to fraction form
    353,918/770,038 = 770,038/x
  3. Step 3: Cross multiply
    353,918x = 770,038 × 770,038
  4. Step 4: Simplify right side
    353,918x = 592,958,521,444
  5. Step 5: Solve for x
    x = 592,958,521,444/353,918
  6. Step 6: Final answer
    x = 1,675,412.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.