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Finding the Third Proportional to 137,537,286 and 205,761,309

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Solution

The third proportional to 137,537,286 and 205,761,309 is: 307,827,190.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,537,286 : 205,761,309 = 205,761,309 : x
  2. Step 2: Convert to fraction form
    137,537,286/205,761,309 = 205,761,309/x
  3. Step 3: Cross multiply
    137,537,286x = 205,761,309 × 205,761,309
  4. Step 4: Simplify right side
    137,537,286x = 42,337,716,281,393,480
  5. Step 5: Solve for x
    x = 42,337,716,281,393,480/137,537,286
  6. Step 6: Final answer
    x = 307,827,190.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.