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Finding the Third Proportional to 311,315.25 and 455,870.25

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Solution

The third proportional to 311,315.25 and 455,870.25 is: 667,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,315.25 : 455,870.25 = 455,870.25 : x
  2. Step 2: Convert to fraction form
    311,315.25/455,870.25 = 455,870.25/x
  3. Step 3: Cross multiply
    311,315.25x = 455,870.25 × 455,870.25
  4. Step 4: Simplify right side
    311,315.25x = 207,817,684,835.06
  5. Step 5: Solve for x
    x = 207,817,684,835.06/311,315.25
  6. Step 6: Final answer
    x = 667,547.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.