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Finding the Third Proportional to 116,365,010 and 253,160,230

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Solution

The third proportional to 116,365,010 and 253,160,230 is: 550,767,812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,365,010 : 253,160,230 = 253,160,230 : x
  2. Step 2: Convert to fraction form
    116,365,010/253,160,230 = 253,160,230/x
  3. Step 3: Cross multiply
    116,365,010x = 253,160,230 × 253,160,230
  4. Step 4: Simplify right side
    116,365,010x = 64,090,102,053,652,896
  5. Step 5: Solve for x
    x = 64,090,102,053,652,896/116,365,010
  6. Step 6: Final answer
    x = 550,767,812.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.