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Finding the Third Proportional to 357,150 and 539,374.50

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Solution

The third proportional to 357,150 and 539,374.50 is: 814,573.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,150 : 539,374.50 = 539,374.50 : x
  2. Step 2: Convert to fraction form
    357,150/539,374.50 = 539,374.50/x
  3. Step 3: Cross multiply
    357,150x = 539,374.50 × 539,374.50
  4. Step 4: Simplify right side
    357,150x = 290,924,851,250.25
  5. Step 5: Solve for x
    x = 290,924,851,250.25/357,150
  6. Step 6: Final answer
    x = 814,573.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.