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Finding the Third Proportional to 6,685,728 and 10,185,312

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Solution

The third proportional to 6,685,728 and 10,185,312 is: 15,516,721.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685,728 : 10,185,312 = 10,185,312 : x
  2. Step 2: Convert to fraction form
    6,685,728/10,185,312 = 10,185,312/x
  3. Step 3: Cross multiply
    6,685,728x = 10,185,312 × 10,185,312
  4. Step 4: Simplify right side
    6,685,728x = 103,740,580,537,344
  5. Step 5: Solve for x
    x = 103,740,580,537,344/6,685,728
  6. Step 6: Final answer
    x = 15,516,721.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.