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Finding the Third Proportional to 432,420,243 and 645,796,749

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Solution

The third proportional to 432,420,243 and 645,796,749 is: 964,463,268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,420,243 : 645,796,749 = 645,796,749 : x
  2. Step 2: Convert to fraction form
    432,420,243/645,796,749 = 645,796,749/x
  3. Step 3: Cross multiply
    432,420,243x = 645,796,749 × 645,796,749
  4. Step 4: Simplify right side
    432,420,243x = 417,053,441,018,969,024
  5. Step 5: Solve for x
    x = 417,053,441,018,969,024/432,420,243
  6. Step 6: Final answer
    x = 964,463,268.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.