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Finding the Third Proportional to 333,479 and 730,207

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Solution

The third proportional to 333,479 and 730,207 is: 1,598,908.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,479 : 730,207 = 730,207 : x
  2. Step 2: Convert to fraction form
    333,479/730,207 = 730,207/x
  3. Step 3: Cross multiply
    333,479x = 730,207 × 730,207
  4. Step 4: Simplify right side
    333,479x = 533,202,262,849
  5. Step 5: Solve for x
    x = 533,202,262,849/333,479
  6. Step 6: Final answer
    x = 1,598,908.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.