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Finding the Third Proportional to 260,307.56 and 402,258.94

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Solution

The third proportional to 260,307.56 and 402,258.94 is: 621,619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,307.56 : 402,258.94 = 402,258.94 : x
  2. Step 2: Convert to fraction form
    260,307.56/402,258.94 = 402,258.94/x
  3. Step 3: Cross multiply
    260,307.56x = 402,258.94 × 402,258.94
  4. Step 4: Simplify right side
    260,307.56x = 161,812,252,798.63
  5. Step 5: Solve for x
    x = 161,812,252,798.63/260,307.56
  6. Step 6: Final answer
    x = 621,619.48

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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.