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Finding the Third Proportional to 257,064,791.06 and 391,620,427.59

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Solution

The third proportional to 257,064,791.06 and 391,620,427.59 is: 596,606,632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,064,791.06 : 391,620,427.59 = 391,620,427.59 : x
  2. Step 2: Convert to fraction form
    257,064,791.06/391,620,427.59 = 391,620,427.59/x
  3. Step 3: Cross multiply
    257,064,791.06x = 391,620,427.59 × 391,620,427.59
  4. Step 4: Simplify right side
    257,064,791.06x = 153,366,559,308,711,584
  5. Step 5: Solve for x
    x = 153,366,559,308,711,584/257,064,791.06
  6. Step 6: Final answer
    x = 596,606,632.42

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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.