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Finding the Third Proportional to 455,303 and 689,759

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Solution

The third proportional to 455,303 and 689,759 is: 1,044,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,303 : 689,759 = 689,759 : x
  2. Step 2: Convert to fraction form
    455,303/689,759 = 689,759/x
  3. Step 3: Cross multiply
    455,303x = 689,759 × 689,759
  4. Step 4: Simplify right side
    455,303x = 475,767,478,081
  5. Step 5: Solve for x
    x = 475,767,478,081/455,303
  6. Step 6: Final answer
    x = 1,044,946.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.