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Finding the Third Proportional to 296,403 and 623,781

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Solution

The third proportional to 296,403 and 623,781 is: 1,312,748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,403 : 623,781 = 623,781 : x
  2. Step 2: Convert to fraction form
    296,403/623,781 = 623,781/x
  3. Step 3: Cross multiply
    296,403x = 623,781 × 623,781
  4. Step 4: Simplify right side
    296,403x = 389,102,735,961
  5. Step 5: Solve for x
    x = 389,102,735,961/296,403
  6. Step 6: Final answer
    x = 1,312,748.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.