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Finding the Third Proportional to 459,396,378 and 689,430,555

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Solution

The third proportional to 459,396,378 and 689,430,555 is: 1,034,650,060.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,396,378 : 689,430,555 = 689,430,555 : x
  2. Step 2: Convert to fraction form
    459,396,378/689,430,555 = 689,430,555/x
  3. Step 3: Cross multiply
    459,396,378x = 689,430,555 × 689,430,555
  4. Step 4: Simplify right side
    459,396,378x = 475,314,490,167,608,000
  5. Step 5: Solve for x
    x = 475,314,490,167,608,000/459,396,378
  6. Step 6: Final answer
    x = 1,034,650,060.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.