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Finding the Third Proportional to 298,770 and 653,484

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Solution

The third proportional to 298,770 and 653,484 is: 1,429,331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,770 : 653,484 = 653,484 : x
  2. Step 2: Convert to fraction form
    298,770/653,484 = 653,484/x
  3. Step 3: Cross multiply
    298,770x = 653,484 × 653,484
  4. Step 4: Simplify right side
    298,770x = 427,041,338,256
  5. Step 5: Solve for x
    x = 427,041,338,256/298,770
  6. Step 6: Final answer
    x = 1,429,331.39

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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.