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Finding the Third Proportional to 689,072 and 1,010,239

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Solution

The third proportional to 689,072 and 1,010,239 is: 1,481,097.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,072 : 1,010,239 = 1,010,239 : x
  2. Step 2: Convert to fraction form
    689,072/1,010,239 = 1,010,239/x
  3. Step 3: Cross multiply
    689,072x = 1,010,239 × 1,010,239
  4. Step 4: Simplify right side
    689,072x = 1,020,582,837,121
  5. Step 5: Solve for x
    x = 1,020,582,837,121/689,072
  6. Step 6: Final answer
    x = 1,481,097.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.