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Finding the Third Proportional to 655,682 and 989,547

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Solution

The third proportional to 655,682 and 989,547 is: 1,493,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,682 : 989,547 = 989,547 : x
  2. Step 2: Convert to fraction form
    655,682/989,547 = 989,547/x
  3. Step 3: Cross multiply
    655,682x = 989,547 × 989,547
  4. Step 4: Simplify right side
    655,682x = 979,203,265,209
  5. Step 5: Solve for x
    x = 979,203,265,209/655,682
  6. Step 6: Final answer
    x = 1,493,411.84

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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.