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Finding the Third Proportional to 292,426 and 637,736

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Solution

The third proportional to 292,426 and 637,736 is: 1,390,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,426 : 637,736 = 637,736 : x
  2. Step 2: Convert to fraction form
    292,426/637,736 = 637,736/x
  3. Step 3: Cross multiply
    292,426x = 637,736 × 637,736
  4. Step 4: Simplify right side
    292,426x = 406,707,205,696
  5. Step 5: Solve for x
    x = 406,707,205,696/292,426
  6. Step 6: Final answer
    x = 1,390,803.85

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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.