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Finding the Third Proportional to 286,044 and 420,804

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Solution

The third proportional to 286,044 and 420,804 is: 619,051.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,044 : 420,804 = 420,804 : x
  2. Step 2: Convert to fraction form
    286,044/420,804 = 420,804/x
  3. Step 3: Cross multiply
    286,044x = 420,804 × 420,804
  4. Step 4: Simplify right side
    286,044x = 177,076,006,416
  5. Step 5: Solve for x
    x = 177,076,006,416/286,044
  6. Step 6: Final answer
    x = 619,051.64

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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.