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Finding the Third Proportional to 257,006.25 and 556,915.50

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Solution

The third proportional to 257,006.25 and 556,915.50 is: 1,206,798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,006.25 : 556,915.50 = 556,915.50 : x
  2. Step 2: Convert to fraction form
    257,006.25/556,915.50 = 556,915.50/x
  3. Step 3: Cross multiply
    257,006.25x = 556,915.50 × 556,915.50
  4. Step 4: Simplify right side
    257,006.25x = 310,154,874,140.25
  5. Step 5: Solve for x
    x = 310,154,874,140.25/257,006.25
  6. Step 6: Final answer
    x = 1,206,798.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.