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Finding the Third Proportional to 255,215 and 549,431

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Solution

The third proportional to 255,215 and 549,431 is: 1,182,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,215 : 549,431 = 549,431 : x
  2. Step 2: Convert to fraction form
    255,215/549,431 = 549,431/x
  3. Step 3: Cross multiply
    255,215x = 549,431 × 549,431
  4. Step 4: Simplify right side
    255,215x = 301,874,423,761
  5. Step 5: Solve for x
    x = 301,874,423,761/255,215
  6. Step 6: Final answer
    x = 1,182,823.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.