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Finding the Third Proportional to 221,085 and 473,709

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Solution

The third proportional to 221,085 and 473,709 is: 1,014,995.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,085 : 473,709 = 473,709 : x
  2. Step 2: Convert to fraction form
    221,085/473,709 = 473,709/x
  3. Step 3: Cross multiply
    221,085x = 473,709 × 473,709
  4. Step 4: Simplify right side
    221,085x = 224,400,216,681
  5. Step 5: Solve for x
    x = 224,400,216,681/221,085
  6. Step 6: Final answer
    x = 1,014,995.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.