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Finding the Third Proportional to 143,085,243 and 310,367,454

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Solution

The third proportional to 143,085,243 and 310,367,454 is: 673,220,763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,085,243 : 310,367,454 = 310,367,454 : x
  2. Step 2: Convert to fraction form
    143,085,243/310,367,454 = 310,367,454/x
  3. Step 3: Cross multiply
    143,085,243x = 310,367,454 × 310,367,454
  4. Step 4: Simplify right side
    143,085,243x = 96,327,956,502,442,112
  5. Step 5: Solve for x
    x = 96,327,956,502,442,112/143,085,243
  6. Step 6: Final answer
    x = 673,220,763.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.