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Finding the Third Proportional to 272,088 and 428,997

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Solution

The third proportional to 272,088 and 428,997 is: 676,393.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,088 : 428,997 = 428,997 : x
  2. Step 2: Convert to fraction form
    272,088/428,997 = 428,997/x
  3. Step 3: Cross multiply
    272,088x = 428,997 × 428,997
  4. Step 4: Simplify right side
    272,088x = 184,038,426,009
  5. Step 5: Solve for x
    x = 184,038,426,009/272,088
  6. Step 6: Final answer
    x = 676,393.03

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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.