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Finding the Third Proportional to 292,655 and 427,804

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Solution

The third proportional to 292,655 and 427,804 is: 625,365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,655 : 427,804 = 427,804 : x
  2. Step 2: Convert to fraction form
    292,655/427,804 = 427,804/x
  3. Step 3: Cross multiply
    292,655x = 427,804 × 427,804
  4. Step 4: Simplify right side
    292,655x = 183,016,262,416
  5. Step 5: Solve for x
    x = 183,016,262,416/292,655
  6. Step 6: Final answer
    x = 625,365.23

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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.