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Finding the Third Proportional to 15,781,564.50 and 33,960,079.50

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Solution

The third proportional to 15,781,564.50 and 33,960,079.50 is: 73,078,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781,564.50 : 33,960,079.50 = 33,960,079.50 : x
  2. Step 2: Convert to fraction form
    15,781,564.50/33,960,079.50 = 33,960,079.50/x
  3. Step 3: Cross multiply
    15,781,564.50x = 33,960,079.50 × 33,960,079.50
  4. Step 4: Simplify right side
    15,781,564.50x = 1,153,286,999,646,320.25
  5. Step 5: Solve for x
    x = 1,153,286,999,646,320.25/15,781,564.50
  6. Step 6: Final answer
    x = 73,078,115.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.