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Finding the Third Proportional to 305,681,007.75 and 645,864,415.50

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Solution

The third proportional to 305,681,007.75 and 645,864,415.50 is: 1,364,627,937.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,681,007.75 : 645,864,415.50 = 645,864,415.50 : x
  2. Step 2: Convert to fraction form
    305,681,007.75/645,864,415.50 = 645,864,415.50/x
  3. Step 3: Cross multiply
    305,681,007.75x = 645,864,415.50 × 645,864,415.50
  4. Step 4: Simplify right side
    305,681,007.75x = 417,140,843,209,156,672
  5. Step 5: Solve for x
    x = 417,140,843,209,156,672/305,681,007.75
  6. Step 6: Final answer
    x = 1,364,627,937.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.