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Finding the Third Proportional to 295,207 and 611,420

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Solution

The third proportional to 295,207 and 611,420 is: 1,266,346.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,207 : 611,420 = 611,420 : x
  2. Step 2: Convert to fraction form
    295,207/611,420 = 611,420/x
  3. Step 3: Cross multiply
    295,207x = 611,420 × 611,420
  4. Step 4: Simplify right side
    295,207x = 373,834,416,400
  5. Step 5: Solve for x
    x = 373,834,416,400/295,207
  6. Step 6: Final answer
    x = 1,266,346.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.