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Finding the Third Proportional to 139,791,394 and 208,474,834

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Solution

The third proportional to 139,791,394 and 208,474,834 is: 310,904,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,791,394 : 208,474,834 = 208,474,834 : x
  2. Step 2: Convert to fraction form
    139,791,394/208,474,834 = 208,474,834/x
  3. Step 3: Cross multiply
    139,791,394x = 208,474,834 × 208,474,834
  4. Step 4: Simplify right side
    139,791,394x = 43,461,756,411,327,552
  5. Step 5: Solve for x
    x = 43,461,756,411,327,552/139,791,394
  6. Step 6: Final answer
    x = 310,904,378.07

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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.