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Finding the Third Proportional to 489,316 and 749,526

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Solution

The third proportional to 489,316 and 749,526 is: 1,148,111.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,316 : 749,526 = 749,526 : x
  2. Step 2: Convert to fraction form
    489,316/749,526 = 749,526/x
  3. Step 3: Cross multiply
    489,316x = 749,526 × 749,526
  4. Step 4: Simplify right side
    489,316x = 561,789,224,676
  5. Step 5: Solve for x
    x = 561,789,224,676/489,316
  6. Step 6: Final answer
    x = 1,148,111.29

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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.