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Finding the Third Proportional to 13,877,154 and 20,342,355

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Solution

The third proportional to 13,877,154 and 20,342,355 is: 29,819,616.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877,154 : 20,342,355 = 20,342,355 : x
  2. Step 2: Convert to fraction form
    13,877,154/20,342,355 = 20,342,355/x
  3. Step 3: Cross multiply
    13,877,154x = 20,342,355 × 20,342,355
  4. Step 4: Simplify right side
    13,877,154x = 413,811,406,946,025
  5. Step 5: Solve for x
    x = 413,811,406,946,025/13,877,154
  6. Step 6: Final answer
    x = 29,819,616.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.