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Finding the Third Proportional to 145,724,787 and 208,388,159

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Solution

The third proportional to 145,724,787 and 208,388,159 is: 297,997,517.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,724,787 : 208,388,159 = 208,388,159 : x
  2. Step 2: Convert to fraction form
    145,724,787/208,388,159 = 208,388,159/x
  3. Step 3: Cross multiply
    145,724,787x = 208,388,159 × 208,388,159
  4. Step 4: Simplify right side
    145,724,787x = 43,425,624,811,409,280
  5. Step 5: Solve for x
    x = 43,425,624,811,409,280/145,724,787
  6. Step 6: Final answer
    x = 297,997,517.82

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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.