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Finding the Third Proportional to 458,343 and 986,897

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Solution

The third proportional to 458,343 and 986,897 is: 2,124,971.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,343 : 986,897 = 986,897 : x
  2. Step 2: Convert to fraction form
    458,343/986,897 = 986,897/x
  3. Step 3: Cross multiply
    458,343x = 986,897 × 986,897
  4. Step 4: Simplify right side
    458,343x = 973,965,688,609
  5. Step 5: Solve for x
    x = 973,965,688,609/458,343
  6. Step 6: Final answer
    x = 2,124,971.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.