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Finding the Third Proportional to 291,817,143 and 455,392,789.50

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Solution

The third proportional to 291,817,143 and 455,392,789.50 is: 710,659,389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,817,143 : 455,392,789.50 = 455,392,789.50 : x
  2. Step 2: Convert to fraction form
    291,817,143/455,392,789.50 = 455,392,789.50/x
  3. Step 3: Cross multiply
    291,817,143x = 455,392,789.50 × 455,392,789.50
  4. Step 4: Simplify right side
    291,817,143x = 207,382,592,728,591,296
  5. Step 5: Solve for x
    x = 207,382,592,728,591,296/291,817,143
  6. Step 6: Final answer
    x = 710,659,389.63

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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.