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Finding the Third Proportional to 209,747,664 and 317,535,984

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Solution

The third proportional to 209,747,664 and 317,535,984 is: 480,716,205.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,747,664 : 317,535,984 = 317,535,984 : x
  2. Step 2: Convert to fraction form
    209,747,664/317,535,984 = 317,535,984/x
  3. Step 3: Cross multiply
    209,747,664x = 317,535,984 × 317,535,984
  4. Step 4: Simplify right side
    209,747,664x = 100,829,101,134,848,256
  5. Step 5: Solve for x
    x = 100,829,101,134,848,256/209,747,664
  6. Step 6: Final answer
    x = 480,716,205.43

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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.