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Finding the Third Proportional to 286,269.19 and 420,701.34

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Solution

The third proportional to 286,269.19 and 420,701.34 is: 618,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,269.19 : 420,701.34 = 420,701.34 : x
  2. Step 2: Convert to fraction form
    286,269.19/420,701.34 = 420,701.34/x
  3. Step 3: Cross multiply
    286,269.19x = 420,701.34 × 420,701.34
  4. Step 4: Simplify right side
    286,269.19x = 176,989,620,633.06
  5. Step 5: Solve for x
    x = 176,989,620,633.06/286,269.19
  6. Step 6: Final answer
    x = 618,262.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.