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Finding the Third Proportional to 355,407.75 and 514,390.50

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Solution

The third proportional to 355,407.75 and 514,390.50 is: 744,490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,407.75 : 514,390.50 = 514,390.50 : x
  2. Step 2: Convert to fraction form
    355,407.75/514,390.50 = 514,390.50/x
  3. Step 3: Cross multiply
    355,407.75x = 514,390.50 × 514,390.50
  4. Step 4: Simplify right side
    355,407.75x = 264,597,586,490.25
  5. Step 5: Solve for x
    x = 264,597,586,490.25/355,407.75
  6. Step 6: Final answer
    x = 744,490.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.