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Finding the Third Proportional to 142,963,757.50 and 312,145,453

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Solution

The third proportional to 142,963,757.50 and 312,145,453 is: 681,534,855.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,963,757.50 : 312,145,453 = 312,145,453 : x
  2. Step 2: Convert to fraction form
    142,963,757.50/312,145,453 = 312,145,453/x
  3. Step 3: Cross multiply
    142,963,757.50x = 312,145,453 × 312,145,453
  4. Step 4: Simplify right side
    142,963,757.50x = 97,434,783,828,575,216
  5. Step 5: Solve for x
    x = 97,434,783,828,575,216/142,963,757.50
  6. Step 6: Final answer
    x = 681,534,855.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.