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Finding the Third Proportional to 298,788 and 653,518

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Solution

The third proportional to 298,788 and 653,518 is: 1,429,394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,788 : 653,518 = 653,518 : x
  2. Step 2: Convert to fraction form
    298,788/653,518 = 653,518/x
  3. Step 3: Cross multiply
    298,788x = 653,518 × 653,518
  4. Step 4: Simplify right side
    298,788x = 427,085,776,324
  5. Step 5: Solve for x
    x = 427,085,776,324/298,788
  6. Step 6: Final answer
    x = 1,429,394.01

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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.