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Finding the Third Proportional to 358,728.75 and 761,197.50

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Solution

The third proportional to 358,728.75 and 761,197.50 is: 1,615,208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,728.75 : 761,197.50 = 761,197.50 : x
  2. Step 2: Convert to fraction form
    358,728.75/761,197.50 = 761,197.50/x
  3. Step 3: Cross multiply
    358,728.75x = 761,197.50 × 761,197.50
  4. Step 4: Simplify right side
    358,728.75x = 579,421,634,006.25
  5. Step 5: Solve for x
    x = 579,421,634,006.25/358,728.75
  6. Step 6: Final answer
    x = 1,615,208.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.