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Finding the Third Proportional to 489,312 and 749,520

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Solution

The third proportional to 489,312 and 749,520 is: 1,148,102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,312 : 749,520 = 749,520 : x
  2. Step 2: Convert to fraction form
    489,312/749,520 = 749,520/x
  3. Step 3: Cross multiply
    489,312x = 749,520 × 749,520
  4. Step 4: Simplify right side
    489,312x = 561,780,230,400
  5. Step 5: Solve for x
    x = 561,780,230,400/489,312
  6. Step 6: Final answer
    x = 1,148,102.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.