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Finding the Third Proportional to 291,817,126 and 455,392,761

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Solution

The third proportional to 291,817,126 and 455,392,761 is: 710,659,342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,817,126 : 455,392,761 = 455,392,761 : x
  2. Step 2: Convert to fraction form
    291,817,126/455,392,761 = 455,392,761/x
  3. Step 3: Cross multiply
    291,817,126x = 455,392,761 × 455,392,761
  4. Step 4: Simplify right side
    291,817,126x = 207,382,566,771,203,136
  5. Step 5: Solve for x
    x = 207,382,566,771,203,136/291,817,126
  6. Step 6: Final answer
    x = 710,659,342.08

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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.