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Finding the Third Proportional to 101,772.13 and 217,070.38

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Solution

The third proportional to 101,772.13 and 217,070.38 is: 462,990.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,772.13 : 217,070.38 = 217,070.38 : x
  2. Step 2: Convert to fraction form
    101,772.13/217,070.38 = 217,070.38/x
  3. Step 3: Cross multiply
    101,772.13x = 217,070.38 × 217,070.38
  4. Step 4: Simplify right side
    101,772.13x = 47,119,547,702.64
  5. Step 5: Solve for x
    x = 47,119,547,702.64/101,772.13
  6. Step 6: Final answer
    x = 462,990.70

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.