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Finding the Third Proportional to 17,728,160 and 38,819,344.50

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Solution

The third proportional to 17,728,160 and 38,819,344.50 is: 85,002,702.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728,160 : 38,819,344.50 = 38,819,344.50 : x
  2. Step 2: Convert to fraction form
    17,728,160/38,819,344.50 = 38,819,344.50/x
  3. Step 3: Cross multiply
    17,728,160x = 38,819,344.50 × 38,819,344.50
  4. Step 4: Simplify right side
    17,728,160x = 1,506,941,507,409,680.25
  5. Step 5: Solve for x
    x = 1,506,941,507,409,680.25/17,728,160
  6. Step 6: Final answer
    x = 85,002,702.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.