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Finding the Third Proportional to 260,565.75 and 390,849.75

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Solution

The third proportional to 260,565.75 and 390,849.75 is: 586,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,565.75 : 390,849.75 = 390,849.75 : x
  2. Step 2: Convert to fraction form
    260,565.75/390,849.75 = 390,849.75/x
  3. Step 3: Cross multiply
    260,565.75x = 390,849.75 × 390,849.75
  4. Step 4: Simplify right side
    260,565.75x = 152,763,527,075.06
  5. Step 5: Solve for x
    x = 152,763,527,075.06/260,565.75
  6. Step 6: Final answer
    x = 586,276.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.