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Finding the Third Proportional to 145,088 and 205,376

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Solution

The third proportional to 145,088 and 205,376 is: 290,715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,088 : 205,376 = 205,376 : x
  2. Step 2: Convert to fraction form
    145,088/205,376 = 205,376/x
  3. Step 3: Cross multiply
    145,088x = 205,376 × 205,376
  4. Step 4: Simplify right side
    145,088x = 42,179,301,376
  5. Step 5: Solve for x
    x = 42,179,301,376/145,088
  6. Step 6: Final answer
    x = 290,715.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.