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Finding the Third Proportional to 102,256,431 and 143,830,498.50

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Solution

The third proportional to 102,256,431 and 143,830,498.50 is: 202,307,200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,256,431 : 143,830,498.50 = 143,830,498.50 : x
  2. Step 2: Convert to fraction form
    102,256,431/143,830,498.50 = 143,830,498.50/x
  3. Step 3: Cross multiply
    102,256,431x = 143,830,498.50 × 143,830,498.50
  4. Step 4: Simplify right side
    102,256,431x = 20,687,212,298,758,504
  5. Step 5: Solve for x
    x = 20,687,212,298,758,504/102,256,431
  6. Step 6: Final answer
    x = 202,307,200.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.