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Finding the Third Proportional to 115,400,760 and 243,678,576

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Solution

The third proportional to 115,400,760 and 243,678,576 is: 514,548,157.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,400,760 : 243,678,576 = 243,678,576 : x
  2. Step 2: Convert to fraction form
    115,400,760/243,678,576 = 243,678,576/x
  3. Step 3: Cross multiply
    115,400,760x = 243,678,576 × 243,678,576
  4. Step 4: Simplify right side
    115,400,760x = 59,379,248,401,387,776
  5. Step 5: Solve for x
    x = 59,379,248,401,387,776/115,400,760
  6. Step 6: Final answer
    x = 514,548,157.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.