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Finding the Third Proportional to 296,647.31 and 420,030.56

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Solution

The third proportional to 296,647.31 and 420,030.56 is: 594,732.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,647.31 : 420,030.56 = 420,030.56 : x
  2. Step 2: Convert to fraction form
    296,647.31/420,030.56 = 420,030.56/x
  3. Step 3: Cross multiply
    296,647.31x = 420,030.56 × 420,030.56
  4. Step 4: Simplify right side
    296,647.31x = 176,425,673,434.07
  5. Step 5: Solve for x
    x = 176,425,673,434.07/296,647.31
  6. Step 6: Final answer
    x = 594,732.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.