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Finding the Third Proportional to 378,811.50 and 832,345.50

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Solution

The third proportional to 378,811.50 and 832,345.50 is: 1,828,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,811.50 : 832,345.50 = 832,345.50 : x
  2. Step 2: Convert to fraction form
    378,811.50/832,345.50 = 832,345.50/x
  3. Step 3: Cross multiply
    378,811.50x = 832,345.50 × 832,345.50
  4. Step 4: Simplify right side
    378,811.50x = 692,799,031,370.25
  5. Step 5: Solve for x
    x = 692,799,031,370.25/378,811.50
  6. Step 6: Final answer
    x = 1,828,875.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.