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Finding the Third Proportional to 272,146 and 429,089

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Solution

The third proportional to 272,146 and 429,089 is: 676,538.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,146 : 429,089 = 429,089 : x
  2. Step 2: Convert to fraction form
    272,146/429,089 = 429,089/x
  3. Step 3: Cross multiply
    272,146x = 429,089 × 429,089
  4. Step 4: Simplify right side
    272,146x = 184,117,369,921
  5. Step 5: Solve for x
    x = 184,117,369,921/272,146
  6. Step 6: Final answer
    x = 676,538.95

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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.