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Finding the Third Proportional to 9,702,315 and 19,689,729.75

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Solution

The third proportional to 9,702,315 and 19,689,729.75 is: 39,958,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702,315 : 19,689,729.75 = 19,689,729.75 : x
  2. Step 2: Convert to fraction form
    9,702,315/19,689,729.75 = 19,689,729.75/x
  3. Step 3: Cross multiply
    9,702,315x = 19,689,729.75 × 19,689,729.75
  4. Step 4: Simplify right side
    9,702,315x = 387,685,457,628,035.06
  5. Step 5: Solve for x
    x = 387,685,457,628,035.06/9,702,315
  6. Step 6: Final answer
    x = 39,958,036.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.