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Finding the Third Proportional to 303,556 and 456,312

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Solution

The third proportional to 303,556 and 456,312 is: 685,938.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,556 : 456,312 = 456,312 : x
  2. Step 2: Convert to fraction form
    303,556/456,312 = 456,312/x
  3. Step 3: Cross multiply
    303,556x = 456,312 × 456,312
  4. Step 4: Simplify right side
    303,556x = 208,220,641,344
  5. Step 5: Solve for x
    x = 208,220,641,344/303,556
  6. Step 6: Final answer
    x = 685,938.15

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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.