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Finding the Third Proportional to 3,068,631 and 4,602,946.50

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Solution

The third proportional to 3,068,631 and 4,602,946.50 is: 6,904,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068,631 : 4,602,946.50 = 4,602,946.50 : x
  2. Step 2: Convert to fraction form
    3,068,631/4,602,946.50 = 4,602,946.50/x
  3. Step 3: Cross multiply
    3,068,631x = 4,602,946.50 × 4,602,946.50
  4. Step 4: Simplify right side
    3,068,631x = 21,187,116,481,862.25
  5. Step 5: Solve for x
    x = 21,187,116,481,862.25/3,068,631
  6. Step 6: Final answer
    x = 6,904,419.75

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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.