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Finding the Third Proportional to 20,706,640 and 31,490,160

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Solution

The third proportional to 20,706,640 and 31,490,160 is: 47,889,477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706,640 : 31,490,160 = 31,490,160 : x
  2. Step 2: Convert to fraction form
    20,706,640/31,490,160 = 31,490,160/x
  3. Step 3: Cross multiply
    20,706,640x = 31,490,160 × 31,490,160
  4. Step 4: Simplify right side
    20,706,640x = 991,630,176,825,600
  5. Step 5: Solve for x
    x = 991,630,176,825,600/20,706,640
  6. Step 6: Final answer
    x = 47,889,477.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.