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Finding the Third Proportional to 209,506 and 452,484

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Solution

The third proportional to 209,506 and 452,484 is: 977,259.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,506 : 452,484 = 452,484 : x
  2. Step 2: Convert to fraction form
    209,506/452,484 = 452,484/x
  3. Step 3: Cross multiply
    209,506x = 452,484 × 452,484
  4. Step 4: Simplify right side
    209,506x = 204,741,770,256
  5. Step 5: Solve for x
    x = 204,741,770,256/209,506
  6. Step 6: Final answer
    x = 977,259.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.