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Finding the Third Proportional to 209,752,983 and 317,543,287.50

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Solution

The third proportional to 209,752,983 and 317,543,287.50 is: 480,726,128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,752,983 : 317,543,287.50 = 317,543,287.50 : x
  2. Step 2: Convert to fraction form
    209,752,983/317,543,287.50 = 317,543,287.50/x
  3. Step 3: Cross multiply
    209,752,983x = 317,543,287.50 × 317,543,287.50
  4. Step 4: Simplify right side
    209,752,983x = 100,833,739,436,307,664
  5. Step 5: Solve for x
    x = 100,833,739,436,307,664/209,752,983
  6. Step 6: Final answer
    x = 480,726,128.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.