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Finding the Third Proportional to 257,151,839 and 563,431,868.50

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Solution

The third proportional to 257,151,839 and 563,431,868.50 is: 1,234,505,931.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,151,839 : 563,431,868.50 = 563,431,868.50 : x
  2. Step 2: Convert to fraction form
    257,151,839/563,431,868.50 = 563,431,868.50/x
  3. Step 3: Cross multiply
    257,151,839x = 563,431,868.50 × 563,431,868.50
  4. Step 4: Simplify right side
    257,151,839x = 317,455,470,441,401,280
  5. Step 5: Solve for x
    x = 317,455,470,441,401,280/257,151,839
  6. Step 6: Final answer
    x = 1,234,505,931.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.