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Finding the Third Proportional to 7,880,316 and 16,709,538

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Solution

The third proportional to 7,880,316 and 16,709,538 is: 35,431,150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880,316 : 16,709,538 = 16,709,538 : x
  2. Step 2: Convert to fraction form
    7,880,316/16,709,538 = 16,709,538/x
  3. Step 3: Cross multiply
    7,880,316x = 16,709,538 × 16,709,538
  4. Step 4: Simplify right side
    7,880,316x = 279,208,660,173,444
  5. Step 5: Solve for x
    x = 279,208,660,173,444/7,880,316
  6. Step 6: Final answer
    x = 35,431,150.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.