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Finding the Third Proportional to 354,666.09 and 535,678.31

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Solution

The third proportional to 354,666.09 and 535,678.31 is: 809,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,666.09 : 535,678.31 = 535,678.31 : x
  2. Step 2: Convert to fraction form
    354,666.09/535,678.31 = 535,678.31/x
  3. Step 3: Cross multiply
    354,666.09x = 535,678.31 × 535,678.31
  4. Step 4: Simplify right side
    354,666.09x = 286,951,254,482.85
  5. Step 5: Solve for x
    x = 286,951,254,482.85/354,666.09
  6. Step 6: Final answer
    x = 809,074.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.