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Finding the Third Proportional to 84,985,390 and 187,834,942

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Solution

The third proportional to 84,985,390 and 187,834,942 is: 415,153,303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,985,390 : 187,834,942 = 187,834,942 : x
  2. Step 2: Convert to fraction form
    84,985,390/187,834,942 = 187,834,942/x
  3. Step 3: Cross multiply
    84,985,390x = 187,834,942 × 187,834,942
  4. Step 4: Simplify right side
    84,985,390x = 35,281,965,436,143,364
  5. Step 5: Solve for x
    x = 35,281,965,436,143,364/84,985,390
  6. Step 6: Final answer
    x = 415,153,303.83

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.