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Finding the Third Proportional to 312,587,892 and 459,516,046

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Solution

The third proportional to 312,587,892 and 459,516,046 is: 675,505,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,587,892 : 459,516,046 = 459,516,046 : x
  2. Step 2: Convert to fraction form
    312,587,892/459,516,046 = 459,516,046/x
  3. Step 3: Cross multiply
    312,587,892x = 459,516,046 × 459,516,046
  4. Step 4: Simplify right side
    312,587,892x = 211,154,996,531,474,112
  5. Step 5: Solve for x
    x = 211,154,996,531,474,112/312,587,892
  6. Step 6: Final answer
    x = 675,505,999.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.