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Finding the Third Proportional to 9,166,509 and 20,163,459

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Solution

The third proportional to 9,166,509 and 20,163,459 is: 44,353,316.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166,509 : 20,163,459 = 20,163,459 : x
  2. Step 2: Convert to fraction form
    9,166,509/20,163,459 = 20,163,459/x
  3. Step 3: Cross multiply
    9,166,509x = 20,163,459 × 20,163,459
  4. Step 4: Simplify right side
    9,166,509x = 406,565,078,844,681
  5. Step 5: Solve for x
    x = 406,565,078,844,681/9,166,509
  6. Step 6: Final answer
    x = 44,353,316.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.