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Finding the Third Proportional to 21,810,940 and 45,878,220

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Solution

The third proportional to 21,810,940 and 45,878,220 is: 96,502,538.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,810,940 : 45,878,220 = 45,878,220 : x
  2. Step 2: Convert to fraction form
    21,810,940/45,878,220 = 45,878,220/x
  3. Step 3: Cross multiply
    21,810,940x = 45,878,220 × 45,878,220
  4. Step 4: Simplify right side
    21,810,940x = 2,104,811,070,368,400
  5. Step 5: Solve for x
    x = 2,104,811,070,368,400/21,810,940
  6. Step 6: Final answer
    x = 96,502,538.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.