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Finding the Third Proportional to 655,688 and 989,556

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Solution

The third proportional to 655,688 and 989,556 is: 1,493,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,688 : 989,556 = 989,556 : x
  2. Step 2: Convert to fraction form
    655,688/989,556 = 989,556/x
  3. Step 3: Cross multiply
    655,688x = 989,556 × 989,556
  4. Step 4: Simplify right side
    655,688x = 979,221,077,136
  5. Step 5: Solve for x
    x = 979,221,077,136/655,688
  6. Step 6: Final answer
    x = 1,493,425.34

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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.