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Finding the Third Proportional to 8,398,211 and 18,423,547

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Solution

The third proportional to 8,398,211 and 18,423,547 is: 40,416,593.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398,211 : 18,423,547 = 18,423,547 : x
  2. Step 2: Convert to fraction form
    8,398,211/18,423,547 = 18,423,547/x
  3. Step 3: Cross multiply
    8,398,211x = 18,423,547 × 18,423,547
  4. Step 4: Simplify right side
    8,398,211x = 339,427,084,061,209
  5. Step 5: Solve for x
    x = 339,427,084,061,209/8,398,211
  6. Step 6: Final answer
    x = 40,416,593.97

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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.