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Finding the Third Proportional to 93,830.63 and 145,506.38

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Solution

The third proportional to 93,830.63 and 145,506.38 is: 225,641.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,830.63 : 145,506.38 = 145,506.38 : x
  2. Step 2: Convert to fraction form
    93,830.63/145,506.38 = 145,506.38/x
  3. Step 3: Cross multiply
    93,830.63x = 145,506.38 × 145,506.38
  4. Step 4: Simplify right side
    93,830.63x = 21,172,105,165.64
  5. Step 5: Solve for x
    x = 21,172,105,165.64/93,830.63
  6. Step 6: Final answer
    x = 225,641.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.