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Finding the Third Proportional to 4,931,720 and 7,738,364

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Solution

The third proportional to 4,931,720 and 7,738,364 is: 12,142,270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931,720 : 7,738,364 = 7,738,364 : x
  2. Step 2: Convert to fraction form
    4,931,720/7,738,364 = 7,738,364/x
  3. Step 3: Cross multiply
    4,931,720x = 7,738,364 × 7,738,364
  4. Step 4: Simplify right side
    4,931,720x = 59,882,277,396,496
  5. Step 5: Solve for x
    x = 59,882,277,396,496/4,931,720
  6. Step 6: Final answer
    x = 12,142,270.32

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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.