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Finding the Third Proportional to 405,686,270 and 606,141,269

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Solution

The third proportional to 405,686,270 and 606,141,269 is: 905,643,757.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,686,270 : 606,141,269 = 606,141,269 : x
  2. Step 2: Convert to fraction form
    405,686,270/606,141,269 = 606,141,269/x
  3. Step 3: Cross multiply
    405,686,270x = 606,141,269 × 606,141,269
  4. Step 4: Simplify right side
    405,686,270x = 367,407,237,984,930,368
  5. Step 5: Solve for x
    x = 367,407,237,984,930,368/405,686,270
  6. Step 6: Final answer
    x = 905,643,757.64

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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.