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Finding the Third Proportional to 31,684,600 and 67,916,580

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Solution

The third proportional to 31,684,600 and 67,916,580 is: 145,580,560.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,684,600 : 67,916,580 = 67,916,580 : x
  2. Step 2: Convert to fraction form
    31,684,600/67,916,580 = 67,916,580/x
  3. Step 3: Cross multiply
    31,684,600x = 67,916,580 × 67,916,580
  4. Step 4: Simplify right side
    31,684,600x = 4,612,661,838,896,400
  5. Step 5: Solve for x
    x = 4,612,661,838,896,400/31,684,600
  6. Step 6: Final answer
    x = 145,580,560.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.