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Finding the Third Proportional to 520,200 and 1,118,000

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Solution

The third proportional to 520,200 and 1,118,000 is: 2,402,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,200 : 1,118,000 = 1,118,000 : x
  2. Step 2: Convert to fraction form
    520,200/1,118,000 = 1,118,000/x
  3. Step 3: Cross multiply
    520,200x = 1,118,000 × 1,118,000
  4. Step 4: Simplify right side
    520,200x = 1,249,924,000,000
  5. Step 5: Solve for x
    x = 1,249,924,000,000/520,200
  6. Step 6: Final answer
    x = 2,402,775.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.