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Finding the Third Proportional to 298,709 and 473,219

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Solution

The third proportional to 298,709 and 473,219 is: 749,680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,709 : 473,219 = 473,219 : x
  2. Step 2: Convert to fraction form
    298,709/473,219 = 473,219/x
  3. Step 3: Cross multiply
    298,709x = 473,219 × 473,219
  4. Step 4: Simplify right side
    298,709x = 223,936,221,961
  5. Step 5: Solve for x
    x = 223,936,221,961/298,709
  6. Step 6: Final answer
    x = 749,680.20

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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.