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Finding the Third Proportional to 291,817,140 and 455,392,785

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Solution

The third proportional to 291,817,140 and 455,392,785 is: 710,659,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,817,140 : 455,392,785 = 455,392,785 : x
  2. Step 2: Convert to fraction form
    291,817,140/455,392,785 = 455,392,785/x
  3. Step 3: Cross multiply
    291,817,140x = 455,392,785 × 455,392,785
  4. Step 4: Simplify right side
    291,817,140x = 207,382,588,630,056,224
  5. Step 5: Solve for x
    x = 207,382,588,630,056,224/291,817,140
  6. Step 6: Final answer
    x = 710,659,382.89

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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.