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Finding the Third Proportional to 242,575,870.50 and 396,062,697.94

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Solution

The third proportional to 242,575,870.50 and 396,062,697.94 is: 646,666,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,575,870.50 : 396,062,697.94 = 396,062,697.94 : x
  2. Step 2: Convert to fraction form
    242,575,870.50/396,062,697.94 = 396,062,697.94/x
  3. Step 3: Cross multiply
    242,575,870.50x = 396,062,697.94 × 396,062,697.94
  4. Step 4: Simplify right side
    242,575,870.50x = 156,865,660,697,531,360
  5. Step 5: Solve for x
    x = 156,865,660,697,531,360/242,575,870.50
  6. Step 6: Final answer
    x = 646,666,382.66

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.