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Finding the Third Proportional to 307,430,487 and 663,848,634

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Solution

The third proportional to 307,430,487 and 663,848,634 is: 1,433,478,550.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,430,487 : 663,848,634 = 663,848,634 : x
  2. Step 2: Convert to fraction form
    307,430,487/663,848,634 = 663,848,634/x
  3. Step 3: Cross multiply
    307,430,487x = 663,848,634 × 663,848,634
  4. Step 4: Simplify right side
    307,430,487x = 440,695,008,863,665,984
  5. Step 5: Solve for x
    x = 440,695,008,863,665,984/307,430,487
  6. Step 6: Final answer
    x = 1,433,478,550.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.