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Finding the Third Proportional to 459,570 and 689,841

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Solution

The third proportional to 459,570 and 689,841 is: 1,035,491.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,570 : 689,841 = 689,841 : x
  2. Step 2: Convert to fraction form
    459,570/689,841 = 689,841/x
  3. Step 3: Cross multiply
    459,570x = 689,841 × 689,841
  4. Step 4: Simplify right side
    459,570x = 475,880,605,281
  5. Step 5: Solve for x
    x = 475,880,605,281/459,570
  6. Step 6: Final answer
    x = 1,035,491.01

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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.