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Finding the Third Proportional to 118,861,822 and 257,509,842.50

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Solution

The third proportional to 118,861,822 and 257,509,842.50 is: 557,885,769.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,861,822 : 257,509,842.50 = 257,509,842.50 : x
  2. Step 2: Convert to fraction form
    118,861,822/257,509,842.50 = 257,509,842.50/x
  3. Step 3: Cross multiply
    118,861,822x = 257,509,842.50 × 257,509,842.50
  4. Step 4: Simplify right side
    118,861,822x = 66,311,318,984,374,808
  5. Step 5: Solve for x
    x = 66,311,318,984,374,808/118,861,822
  6. Step 6: Final answer
    x = 557,885,769.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.