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Finding the Third Proportional to 646,279 and 986,915

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Solution

The third proportional to 646,279 and 986,915 is: 1,507,090.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,279 : 986,915 = 986,915 : x
  2. Step 2: Convert to fraction form
    646,279/986,915 = 986,915/x
  3. Step 3: Cross multiply
    646,279x = 986,915 × 986,915
  4. Step 4: Simplify right side
    646,279x = 974,001,217,225
  5. Step 5: Solve for x
    x = 974,001,217,225/646,279
  6. Step 6: Final answer
    x = 1,507,090.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.