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Finding the Third Proportional to 9,762,019.88 and 20,280,715.88

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Solution

The third proportional to 9,762,019.88 and 20,280,715.88 is: 42,133,435.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762,019.88 : 20,280,715.88 = 20,280,715.88 : x
  2. Step 2: Convert to fraction form
    9,762,019.88/20,280,715.88 = 20,280,715.88/x
  3. Step 3: Cross multiply
    9,762,019.88x = 20,280,715.88 × 20,280,715.88
  4. Step 4: Simplify right side
    9,762,019.88x = 411,307,436,402,477
  5. Step 5: Solve for x
    x = 411,307,436,402,477/9,762,019.88
  6. Step 6: Final answer
    x = 42,133,435.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.