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Finding the Third Proportional to 459,396,396 and 689,430,582

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Solution

The third proportional to 459,396,396 and 689,430,582 is: 1,034,650,100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,396,396 : 689,430,582 = 689,430,582 : x
  2. Step 2: Convert to fraction form
    459,396,396/689,430,582 = 689,430,582/x
  3. Step 3: Cross multiply
    459,396,396x = 689,430,582 × 689,430,582
  4. Step 4: Simplify right side
    459,396,396x = 475,314,527,396,858,752
  5. Step 5: Solve for x
    x = 475,314,527,396,858,752/459,396,396
  6. Step 6: Final answer
    x = 1,034,650,100.73

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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.