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Finding the Third Proportional to 393,071,746.50 and 616,560,207.75

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Solution

The third proportional to 393,071,746.50 and 616,560,207.75 is: 967,117,309.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,071,746.50 : 616,560,207.75 = 616,560,207.75 : x
  2. Step 2: Convert to fraction form
    393,071,746.50/616,560,207.75 = 616,560,207.75/x
  3. Step 3: Cross multiply
    393,071,746.50x = 616,560,207.75 × 616,560,207.75
  4. Step 4: Simplify right side
    393,071,746.50x = 380,146,489,780,723,136
  5. Step 5: Solve for x
    x = 380,146,489,780,723,136/393,071,746.50
  6. Step 6: Final answer
    x = 967,117,309.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.