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Finding the Third Proportional to 345,454.88 and 508,295.25

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Solution

The third proportional to 345,454.88 and 508,295.25 is: 747,895.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,454.88 : 508,295.25 = 508,295.25 : x
  2. Step 2: Convert to fraction form
    345,454.88/508,295.25 = 508,295.25/x
  3. Step 3: Cross multiply
    345,454.88x = 508,295.25 × 508,295.25
  4. Step 4: Simplify right side
    345,454.88x = 258,364,061,172.56
  5. Step 5: Solve for x
    x = 258,364,061,172.56/345,454.88
  6. Step 6: Final answer
    x = 747,895.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.