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Finding the Third Proportional to 504,173 and 781,047

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Solution

The third proportional to 504,173 and 781,047 is: 1,209,970.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,173 : 781,047 = 781,047 : x
  2. Step 2: Convert to fraction form
    504,173/781,047 = 781,047/x
  3. Step 3: Cross multiply
    504,173x = 781,047 × 781,047
  4. Step 4: Simplify right side
    504,173x = 610,034,416,209
  5. Step 5: Solve for x
    x = 610,034,416,209/504,173
  6. Step 6: Final answer
    x = 1,209,970.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.