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Finding the Third Proportional to 459,392,985 and 706,120,231.50

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Solution

The third proportional to 459,392,985 and 706,120,231.50 is: 1,085,357,847.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,392,985 : 706,120,231.50 = 706,120,231.50 : x
  2. Step 2: Convert to fraction form
    459,392,985/706,120,231.50 = 706,120,231.50/x
  3. Step 3: Cross multiply
    459,392,985x = 706,120,231.50 × 706,120,231.50
  4. Step 4: Simplify right side
    459,392,985x = 498,605,781,333,613,568
  5. Step 5: Solve for x
    x = 498,605,781,333,613,568/459,392,985
  6. Step 6: Final answer
    x = 1,085,357,847.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.