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Finding the Third Proportional to 428,934,145.50 and 642,824,943.75

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Solution

The third proportional to 428,934,145.50 and 642,824,943.75 is: 963,373,778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,934,145.50 : 642,824,943.75 = 642,824,943.75 : x
  2. Step 2: Convert to fraction form
    428,934,145.50/642,824,943.75 = 642,824,943.75/x
  3. Step 3: Cross multiply
    428,934,145.50x = 642,824,943.75 × 642,824,943.75
  4. Step 4: Simplify right side
    428,934,145.50x = 413,223,908,307,190,656
  5. Step 5: Solve for x
    x = 413,223,908,307,190,656/428,934,145.50
  6. Step 6: Final answer
    x = 963,373,778.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.