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Finding the Third Proportional to 21,085,143 and 31,852,368

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Solution

The third proportional to 21,085,143 and 31,852,368 is: 48,117,925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,085,143 : 31,852,368 = 31,852,368 : x
  2. Step 2: Convert to fraction form
    21,085,143/31,852,368 = 31,852,368/x
  3. Step 3: Cross multiply
    21,085,143x = 31,852,368 × 31,852,368
  4. Step 4: Simplify right side
    21,085,143x = 1,014,573,347,207,424
  5. Step 5: Solve for x
    x = 1,014,573,347,207,424/21,085,143
  6. Step 6: Final answer
    x = 48,117,925.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.