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Finding the Third Proportional to 291,578 and 456,413

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Solution

The third proportional to 291,578 and 456,413 is: 714,432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,578 : 456,413 = 456,413 : x
  2. Step 2: Convert to fraction form
    291,578/456,413 = 456,413/x
  3. Step 3: Cross multiply
    291,578x = 456,413 × 456,413
  4. Step 4: Simplify right side
    291,578x = 208,312,826,569
  5. Step 5: Solve for x
    x = 208,312,826,569/291,578
  6. Step 6: Final answer
    x = 714,432.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.