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Finding the Third Proportional to 260,043 and 412,612.50

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Solution

The third proportional to 260,043 and 412,612.50 is: 654,695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,043 : 412,612.50 = 412,612.50 : x
  2. Step 2: Convert to fraction form
    260,043/412,612.50 = 412,612.50/x
  3. Step 3: Cross multiply
    260,043x = 412,612.50 × 412,612.50
  4. Step 4: Simplify right side
    260,043x = 170,249,075,156.25
  5. Step 5: Solve for x
    x = 170,249,075,156.25/260,043
  6. Step 6: Final answer
    x = 654,695.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.