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Finding the Third Proportional to 272,145 and 429,087

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Solution

The third proportional to 272,145 and 429,087 is: 676,535.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,145 : 429,087 = 429,087 : x
  2. Step 2: Convert to fraction form
    272,145/429,087 = 429,087/x
  3. Step 3: Cross multiply
    272,145x = 429,087 × 429,087
  4. Step 4: Simplify right side
    272,145x = 184,115,653,569
  5. Step 5: Solve for x
    x = 184,115,653,569/272,145
  6. Step 6: Final answer
    x = 676,535.13

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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.