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Finding the Third Proportional to 272,095 and 429,009

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Solution

The third proportional to 272,095 and 429,009 is: 676,413.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,095 : 429,009 = 429,009 : x
  2. Step 2: Convert to fraction form
    272,095/429,009 = 429,009/x
  3. Step 3: Cross multiply
    272,095x = 429,009 × 429,009
  4. Step 4: Simplify right side
    272,095x = 184,048,722,081
  5. Step 5: Solve for x
    x = 184,048,722,081/272,095
  6. Step 6: Final answer
    x = 676,413.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.