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Finding the Third Proportional to 286,324 and 646,887

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Solution

The third proportional to 286,324 and 646,887 is: 1,461,500.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,324 : 646,887 = 646,887 : x
  2. Step 2: Convert to fraction form
    286,324/646,887 = 646,887/x
  3. Step 3: Cross multiply
    286,324x = 646,887 × 646,887
  4. Step 4: Simplify right side
    286,324x = 418,462,790,769
  5. Step 5: Solve for x
    x = 418,462,790,769/286,324
  6. Step 6: Final answer
    x = 1,461,500.92

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.