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Finding the Third Proportional to 352,512 and 745,209

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Solution

The third proportional to 352,512 and 745,209 is: 1,575,368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,512 : 745,209 = 745,209 : x
  2. Step 2: Convert to fraction form
    352,512/745,209 = 745,209/x
  3. Step 3: Cross multiply
    352,512x = 745,209 × 745,209
  4. Step 4: Simplify right side
    352,512x = 555,336,453,681
  5. Step 5: Solve for x
    x = 555,336,453,681/352,512
  6. Step 6: Final answer
    x = 1,575,368.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.