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Finding the Third Proportional to 296,317 and 470,721

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Solution

The third proportional to 296,317 and 470,721 is: 747,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,317 : 470,721 = 470,721 : x
  2. Step 2: Convert to fraction form
    296,317/470,721 = 470,721/x
  3. Step 3: Cross multiply
    296,317x = 470,721 × 470,721
  4. Step 4: Simplify right side
    296,317x = 221,578,259,841
  5. Step 5: Solve for x
    x = 221,578,259,841/296,317
  6. Step 6: Final answer
    x = 747,774.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.