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Finding the Third Proportional to 286,310 and 646,853

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Solution

The third proportional to 286,310 and 646,853 is: 1,461,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,310 : 646,853 = 646,853 : x
  2. Step 2: Convert to fraction form
    286,310/646,853 = 646,853/x
  3. Step 3: Cross multiply
    286,310x = 646,853 × 646,853
  4. Step 4: Simplify right side
    286,310x = 418,418,803,609
  5. Step 5: Solve for x
    x = 418,418,803,609/286,310
  6. Step 6: Final answer
    x = 1,461,418.75

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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.