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Finding the Third Proportional to 296,979.75 and 478,156.50

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Solution

The third proportional to 296,979.75 and 478,156.50 is: 769,862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,979.75 : 478,156.50 = 478,156.50 : x
  2. Step 2: Convert to fraction form
    296,979.75/478,156.50 = 478,156.50/x
  3. Step 3: Cross multiply
    296,979.75x = 478,156.50 × 478,156.50
  4. Step 4: Simplify right side
    296,979.75x = 228,633,638,492.25
  5. Step 5: Solve for x
    x = 228,633,638,492.25/296,979.75
  6. Step 6: Final answer
    x = 769,862.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.