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Finding the Third Proportional to 5,211,792 and 7,972,681.50

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Solution

The third proportional to 5,211,792 and 7,972,681.50 is: 12,196,121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211,792 : 7,972,681.50 = 7,972,681.50 : x
  2. Step 2: Convert to fraction form
    5,211,792/7,972,681.50 = 7,972,681.50/x
  3. Step 3: Cross multiply
    5,211,792x = 7,972,681.50 × 7,972,681.50
  4. Step 4: Simplify right side
    5,211,792x = 63,563,650,300,442.25
  5. Step 5: Solve for x
    x = 63,563,650,300,442.25/5,211,792
  6. Step 6: Final answer
    x = 12,196,121.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.