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Finding the Third Proportional to 380,712,676.50 and 513,670,792.50

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Solution

The third proportional to 380,712,676.50 and 513,670,792.50 is: 693,062,509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,712,676.50 : 513,670,792.50 = 513,670,792.50 : x
  2. Step 2: Convert to fraction form
    380,712,676.50/513,670,792.50 = 513,670,792.50/x
  3. Step 3: Cross multiply
    380,712,676.50x = 513,670,792.50 × 513,670,792.50
  4. Step 4: Simplify right side
    380,712,676.50x = 263,857,683,067,578,048
  5. Step 5: Solve for x
    x = 263,857,683,067,578,048/380,712,676.50
  6. Step 6: Final answer
    x = 693,062,509.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.