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Finding the Third Proportional to 295,420 and 646,136

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Solution

The third proportional to 295,420 and 646,136 is: 1,413,214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,420 : 646,136 = 646,136 : x
  2. Step 2: Convert to fraction form
    295,420/646,136 = 646,136/x
  3. Step 3: Cross multiply
    295,420x = 646,136 × 646,136
  4. Step 4: Simplify right side
    295,420x = 417,491,730,496
  5. Step 5: Solve for x
    x = 417,491,730,496/295,420
  6. Step 6: Final answer
    x = 1,413,214.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.