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Finding the Third Proportional to 427,970 and 662,319

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Solution

The third proportional to 427,970 and 662,319 is: 1,024,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,970 : 662,319 = 662,319 : x
  2. Step 2: Convert to fraction form
    427,970/662,319 = 662,319/x
  3. Step 3: Cross multiply
    427,970x = 662,319 × 662,319
  4. Step 4: Simplify right side
    427,970x = 438,666,457,761
  5. Step 5: Solve for x
    x = 438,666,457,761/427,970
  6. Step 6: Final answer
    x = 1,024,993.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.