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Finding the Third Proportional to 292,179 and 628,746

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Solution

The third proportional to 292,179 and 628,746 is: 1,353,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,179 : 628,746 = 628,746 : x
  2. Step 2: Convert to fraction form
    292,179/628,746 = 628,746/x
  3. Step 3: Cross multiply
    292,179x = 628,746 × 628,746
  4. Step 4: Simplify right side
    292,179x = 395,321,532,516
  5. Step 5: Solve for x
    x = 395,321,532,516/292,179
  6. Step 6: Final answer
    x = 1,353,011.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.