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Finding the Third Proportional to 303,257,236.50 and 433,362,495

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Solution

The third proportional to 303,257,236.50 and 433,362,495 is: 619,286,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,257,236.50 : 433,362,495 = 433,362,495 : x
  2. Step 2: Convert to fraction form
    303,257,236.50/433,362,495 = 433,362,495/x
  3. Step 3: Cross multiply
    303,257,236.50x = 433,362,495 × 433,362,495
  4. Step 4: Simplify right side
    303,257,236.50x = 187,803,052,072,625,024
  5. Step 5: Solve for x
    x = 187,803,052,072,625,024/303,257,236.50
  6. Step 6: Final answer
    x = 619,286,300.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.