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Finding the Third Proportional to 8,438,419.75 and 12,602,065

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Solution

The third proportional to 8,438,419.75 and 12,602,065 is: 18,820,116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438,419.75 : 12,602,065 = 12,602,065 : x
  2. Step 2: Convert to fraction form
    8,438,419.75/12,602,065 = 12,602,065/x
  3. Step 3: Cross multiply
    8,438,419.75x = 12,602,065 × 12,602,065
  4. Step 4: Simplify right side
    8,438,419.75x = 158,812,042,264,225
  5. Step 5: Solve for x
    x = 158,812,042,264,225/8,438,419.75
  6. Step 6: Final answer
    x = 18,820,116.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.