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Finding the Third Proportional to 209,704,984 and 328,243,240

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Solution

The third proportional to 209,704,984 and 328,243,240 is: 513,786,666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,704,984 : 328,243,240 = 328,243,240 : x
  2. Step 2: Convert to fraction form
    209,704,984/328,243,240 = 328,243,240/x
  3. Step 3: Cross multiply
    209,704,984x = 328,243,240 × 328,243,240
  4. Step 4: Simplify right side
    209,704,984x = 107,743,624,605,697,600
  5. Step 5: Solve for x
    x = 107,743,624,605,697,600/209,704,984
  6. Step 6: Final answer
    x = 513,786,666.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.