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Finding the Third Proportional to 459,572 and 689,844

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Solution

The third proportional to 459,572 and 689,844 is: 1,035,495.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,572 : 689,844 = 689,844 : x
  2. Step 2: Convert to fraction form
    459,572/689,844 = 689,844/x
  3. Step 3: Cross multiply
    459,572x = 689,844 × 689,844
  4. Step 4: Simplify right side
    459,572x = 475,884,744,336
  5. Step 5: Solve for x
    x = 475,884,744,336/459,572
  6. Step 6: Final answer
    x = 1,035,495.51

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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.