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Finding the Third Proportional to 21,078,306 and 47,003,196

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Solution

The third proportional to 21,078,306 and 47,003,196 is: 104,813,946.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,078,306 : 47,003,196 = 47,003,196 : x
  2. Step 2: Convert to fraction form
    21,078,306/47,003,196 = 47,003,196/x
  3. Step 3: Cross multiply
    21,078,306x = 47,003,196 × 47,003,196
  4. Step 4: Simplify right side
    21,078,306x = 2,209,300,434,214,416
  5. Step 5: Solve for x
    x = 2,209,300,434,214,416/21,078,306
  6. Step 6: Final answer
    x = 104,813,946.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.