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Finding the Third Proportional to 280,639.13 and 432,030.38

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Solution

The third proportional to 280,639.13 and 432,030.38 is: 665,089.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,639.13 : 432,030.38 = 432,030.38 : x
  2. Step 2: Convert to fraction form
    280,639.13/432,030.38 = 432,030.38/x
  3. Step 3: Cross multiply
    280,639.13x = 432,030.38 × 432,030.38
  4. Step 4: Simplify right side
    280,639.13x = 186,650,244,922.64
  5. Step 5: Solve for x
    x = 186,650,244,922.64/280,639.13
  6. Step 6: Final answer
    x = 665,089.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.