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Finding the Third Proportional to 307,389,569 and 663,858,766

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Solution

The third proportional to 307,389,569 and 663,858,766 is: 1,433,713,130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,389,569 : 663,858,766 = 663,858,766 : x
  2. Step 2: Convert to fraction form
    307,389,569/663,858,766 = 663,858,766/x
  3. Step 3: Cross multiply
    307,389,569x = 663,858,766 × 663,858,766
  4. Step 4: Simplify right side
    307,389,569x = 440,708,461,195,042,752
  5. Step 5: Solve for x
    x = 440,708,461,195,042,752/307,389,569
  6. Step 6: Final answer
    x = 1,433,713,130.31

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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.