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Finding the Third Proportional to 85,517,772 and 186,710,979

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Solution

The third proportional to 85,517,772 and 186,710,979 is: 407,646,140.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,517,772 : 186,710,979 = 186,710,979 : x
  2. Step 2: Convert to fraction form
    85,517,772/186,710,979 = 186,710,979/x
  3. Step 3: Cross multiply
    85,517,772x = 186,710,979 × 186,710,979
  4. Step 4: Simplify right side
    85,517,772x = 34,860,989,679,138,440
  5. Step 5: Solve for x
    x = 34,860,989,679,138,440/85,517,772
  6. Step 6: Final answer
    x = 407,646,140.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.