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Finding the Third Proportional to 145,293 and 307,898

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Solution

The third proportional to 145,293 and 307,898 is: 652,482.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,293 : 307,898 = 307,898 : x
  2. Step 2: Convert to fraction form
    145,293/307,898 = 307,898/x
  3. Step 3: Cross multiply
    145,293x = 307,898 × 307,898
  4. Step 4: Simplify right side
    145,293x = 94,801,178,404
  5. Step 5: Solve for x
    x = 94,801,178,404/145,293
  6. Step 6: Final answer
    x = 652,482.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.