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Finding the Third Proportional to 9,808,236 and 13,464,022.50

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Solution

The third proportional to 9,808,236 and 13,464,022.50 is: 18,482,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808,236 : 13,464,022.50 = 13,464,022.50 : x
  2. Step 2: Convert to fraction form
    9,808,236/13,464,022.50 = 13,464,022.50/x
  3. Step 3: Cross multiply
    9,808,236x = 13,464,022.50 × 13,464,022.50
  4. Step 4: Simplify right side
    9,808,236x = 181,279,901,880,506.25
  5. Step 5: Solve for x
    x = 181,279,901,880,506.25/9,808,236
  6. Step 6: Final answer
    x = 18,482,416.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.