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Finding the Third Proportional to 272,145 and 429,088

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Solution

The third proportional to 272,145 and 429,088 is: 676,538.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,145 : 429,088 = 429,088 : x
  2. Step 2: Convert to fraction form
    272,145/429,088 = 429,088/x
  3. Step 3: Cross multiply
    272,145x = 429,088 × 429,088
  4. Step 4: Simplify right side
    272,145x = 184,116,511,744
  5. Step 5: Solve for x
    x = 184,116,511,744/272,145
  6. Step 6: Final answer
    x = 676,538.29

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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.