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Finding the Third Proportional to 311,187,661 and 634,875,117

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Solution

The third proportional to 311,187,661 and 634,875,117 is: 1,295,251,916.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,187,661 : 634,875,117 = 634,875,117 : x
  2. Step 2: Convert to fraction form
    311,187,661/634,875,117 = 634,875,117/x
  3. Step 3: Cross multiply
    311,187,661x = 634,875,117 × 634,875,117
  4. Step 4: Simplify right side
    311,187,661x = 403,066,414,185,763,712
  5. Step 5: Solve for x
    x = 403,066,414,185,763,712/311,187,661
  6. Step 6: Final answer
    x = 1,295,251,916.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.