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Finding the Third Proportional to 291,255 and 635,459

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Solution

The third proportional to 291,255 and 635,459 is: 1,386,441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,255 : 635,459 = 635,459 : x
  2. Step 2: Convert to fraction form
    291,255/635,459 = 635,459/x
  3. Step 3: Cross multiply
    291,255x = 635,459 × 635,459
  4. Step 4: Simplify right side
    291,255x = 403,808,140,681
  5. Step 5: Solve for x
    x = 403,808,140,681/291,255
  6. Step 6: Final answer
    x = 1,386,441.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.