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Finding the Third Proportional to 292,770 and 427,995

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Solution

The third proportional to 292,770 and 427,995 is: 625,677.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,770 : 427,995 = 427,995 : x
  2. Step 2: Convert to fraction form
    292,770/427,995 = 427,995/x
  3. Step 3: Cross multiply
    292,770x = 427,995 × 427,995
  4. Step 4: Simplify right side
    292,770x = 183,179,720,025
  5. Step 5: Solve for x
    x = 183,179,720,025/292,770
  6. Step 6: Final answer
    x = 625,677.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.