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Finding the Third Proportional to 421,172,049.94 and 657,255,077.72

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Solution

The third proportional to 421,172,049.94 and 657,255,077.72 is: 1,025,671,663.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,172,049.94 : 657,255,077.72 = 657,255,077.72 : x
  2. Step 2: Convert to fraction form
    421,172,049.94/657,255,077.72 = 657,255,077.72/x
  3. Step 3: Cross multiply
    421,172,049.94x = 657,255,077.72 × 657,255,077.72
  4. Step 4: Simplify right side
    421,172,049.94x = 431,984,237,187,080,128
  5. Step 5: Solve for x
    x = 431,984,237,187,080,128/421,172,049.94
  6. Step 6: Final answer
    x = 1,025,671,663.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.