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Finding the Third Proportional to 421,454 and 629,688

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Solution

The third proportional to 421,454 and 629,688 is: 940,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,454 : 629,688 = 629,688 : x
  2. Step 2: Convert to fraction form
    421,454/629,688 = 629,688/x
  3. Step 3: Cross multiply
    421,454x = 629,688 × 629,688
  4. Step 4: Simplify right side
    421,454x = 396,506,977,344
  5. Step 5: Solve for x
    x = 396,506,977,344/421,454
  6. Step 6: Final answer
    x = 940,807.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.