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Finding the Third Proportional to 140,544,121.50 and 209,989,495.50

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Solution

The third proportional to 140,544,121.50 and 209,989,495.50 is: 313,749,075.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,544,121.50 : 209,989,495.50 = 209,989,495.50 : x
  2. Step 2: Convert to fraction form
    140,544,121.50/209,989,495.50 = 209,989,495.50/x
  3. Step 3: Cross multiply
    140,544,121.50x = 209,989,495.50 × 209,989,495.50
  4. Step 4: Simplify right side
    140,544,121.50x = 44,095,588,220,344,520
  5. Step 5: Solve for x
    x = 44,095,588,220,344,520/140,544,121.50
  6. Step 6: Final answer
    x = 313,749,075.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.