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Finding the Third Proportional to 7,974,130 and 17,391,490

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Solution

The third proportional to 7,974,130 and 17,391,490 is: 37,930,648.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974,130 : 17,391,490 = 17,391,490 : x
  2. Step 2: Convert to fraction form
    7,974,130/17,391,490 = 17,391,490/x
  3. Step 3: Cross multiply
    7,974,130x = 17,391,490 × 17,391,490
  4. Step 4: Simplify right side
    7,974,130x = 302,463,924,420,100
  5. Step 5: Solve for x
    x = 302,463,924,420,100/7,974,130
  6. Step 6: Final answer
    x = 37,930,648.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.