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Finding the Third Proportional to 421,688 and 670,664

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Solution

The third proportional to 421,688 and 670,664 is: 1,066,642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,688 : 670,664 = 670,664 : x
  2. Step 2: Convert to fraction form
    421,688/670,664 = 670,664/x
  3. Step 3: Cross multiply
    421,688x = 670,664 × 670,664
  4. Step 4: Simplify right side
    421,688x = 449,790,200,896
  5. Step 5: Solve for x
    x = 449,790,200,896/421,688
  6. Step 6: Final answer
    x = 1,066,642.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.