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Finding the Third Proportional to 298,786 and 653,514

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Solution

The third proportional to 298,786 and 653,514 is: 1,429,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,786 : 653,514 = 653,514 : x
  2. Step 2: Convert to fraction form
    298,786/653,514 = 653,514/x
  3. Step 3: Cross multiply
    298,786x = 653,514 × 653,514
  4. Step 4: Simplify right side
    298,786x = 427,080,548,196
  5. Step 5: Solve for x
    x = 427,080,548,196/298,786
  6. Step 6: Final answer
    x = 1,429,386.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.