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Finding the Third Proportional to 145,428 and 209,458

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Solution

The third proportional to 145,428 and 209,458 is: 301,679.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,428 : 209,458 = 209,458 : x
  2. Step 2: Convert to fraction form
    145,428/209,458 = 209,458/x
  3. Step 3: Cross multiply
    145,428x = 209,458 × 209,458
  4. Step 4: Simplify right side
    145,428x = 43,872,653,764
  5. Step 5: Solve for x
    x = 43,872,653,764/145,428
  6. Step 6: Final answer
    x = 301,679.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.