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Finding the Third Proportional to 23,178,946 and 31,480,100

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Solution

The third proportional to 23,178,946 and 31,480,100 is: 42,754,174.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,178,946 : 31,480,100 = 31,480,100 : x
  2. Step 2: Convert to fraction form
    23,178,946/31,480,100 = 31,480,100/x
  3. Step 3: Cross multiply
    23,178,946x = 31,480,100 × 31,480,100
  4. Step 4: Simplify right side
    23,178,946x = 990,996,696,010,000
  5. Step 5: Solve for x
    x = 990,996,696,010,000/23,178,946
  6. Step 6: Final answer
    x = 42,754,174.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.