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Finding the Third Proportional to 515,955 and 781,723.50

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Solution

The third proportional to 515,955 and 781,723.50 is: 1,184,389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,955 : 781,723.50 = 781,723.50 : x
  2. Step 2: Convert to fraction form
    515,955/781,723.50 = 781,723.50/x
  3. Step 3: Cross multiply
    515,955x = 781,723.50 × 781,723.50
  4. Step 4: Simplify right side
    515,955x = 611,091,630,452.25
  5. Step 5: Solve for x
    x = 611,091,630,452.25/515,955
  6. Step 6: Final answer
    x = 1,184,389.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.