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Finding the Third Proportional to 280,030 and 430,413

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Solution

The third proportional to 280,030 and 430,413 is: 661,555.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,030 : 430,413 = 430,413 : x
  2. Step 2: Convert to fraction form
    280,030/430,413 = 430,413/x
  3. Step 3: Cross multiply
    280,030x = 430,413 × 430,413
  4. Step 4: Simplify right side
    280,030x = 185,255,350,569
  5. Step 5: Solve for x
    x = 185,255,350,569/280,030
  6. Step 6: Final answer
    x = 661,555.37

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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.