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Finding the Third Proportional to 64,671,810 and 137,809,771.50

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Solution

The third proportional to 64,671,810 and 137,809,771.50 is: 293,660,145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,671,810 : 137,809,771.50 = 137,809,771.50 : x
  2. Step 2: Convert to fraction form
    64,671,810/137,809,771.50 = 137,809,771.50/x
  3. Step 3: Cross multiply
    64,671,810x = 137,809,771.50 × 137,809,771.50
  4. Step 4: Simplify right side
    64,671,810x = 18,991,533,120,882,212
  5. Step 5: Solve for x
    x = 18,991,533,120,882,212/64,671,810
  6. Step 6: Final answer
    x = 293,660,145.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.