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Finding the Third Proportional to 145,724,586.50 and 208,387,759

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Solution

The third proportional to 145,724,586.50 and 208,387,759 is: 297,996,783.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,724,586.50 : 208,387,759 = 208,387,759 : x
  2. Step 2: Convert to fraction form
    145,724,586.50/208,387,759 = 208,387,759/x
  3. Step 3: Cross multiply
    145,724,586.50x = 208,387,759 × 208,387,759
  4. Step 4: Simplify right side
    145,724,586.50x = 43,425,458,101,042,080
  5. Step 5: Solve for x
    x = 43,425,458,101,042,080/145,724,586.50
  6. Step 6: Final answer
    x = 297,996,783.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.