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Finding the Third Proportional to 42,946.50 and 64,890.38

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Solution

The third proportional to 42,946.50 and 64,890.38 is: 98,046.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,946.50 : 64,890.38 = 64,890.38 : x
  2. Step 2: Convert to fraction form
    42,946.50/64,890.38 = 64,890.38/x
  3. Step 3: Cross multiply
    42,946.50x = 64,890.38 × 64,890.38
  4. Step 4: Simplify right side
    42,946.50x = 4,210,760,767.64
  5. Step 5: Solve for x
    x = 4,210,760,767.64/42,946.50
  6. Step 6: Final answer
    x = 98,046.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.