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Finding the Third Proportional to 7,702,564 and 11,920,513

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Solution

The third proportional to 7,702,564 and 11,920,513 is: 18,448,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702,564 : 11,920,513 = 11,920,513 : x
  2. Step 2: Convert to fraction form
    7,702,564/11,920,513 = 11,920,513/x
  3. Step 3: Cross multiply
    7,702,564x = 11,920,513 × 11,920,513
  4. Step 4: Simplify right side
    7,702,564x = 142,098,630,183,169
  5. Step 5: Solve for x
    x = 142,098,630,183,169/7,702,564
  6. Step 6: Final answer
    x = 18,448,224.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.