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Finding the Third Proportional to 5,135,382 and 7,947,639

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Solution

The third proportional to 5,135,382 and 7,947,639 is: 12,299,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135,382 : 7,947,639 = 7,947,639 : x
  2. Step 2: Convert to fraction form
    5,135,382/7,947,639 = 7,947,639/x
  3. Step 3: Cross multiply
    5,135,382x = 7,947,639 × 7,947,639
  4. Step 4: Simplify right side
    5,135,382x = 63,164,965,674,321
  5. Step 5: Solve for x
    x = 63,164,965,674,321/5,135,382
  6. Step 6: Final answer
    x = 12,299,954.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.