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Finding the Third Proportional to 489,762 and 742,038

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Solution

The third proportional to 489,762 and 742,038 is: 1,124,261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,762 : 742,038 = 742,038 : x
  2. Step 2: Convert to fraction form
    489,762/742,038 = 742,038/x
  3. Step 3: Cross multiply
    489,762x = 742,038 × 742,038
  4. Step 4: Simplify right side
    489,762x = 550,620,393,444
  5. Step 5: Solve for x
    x = 550,620,393,444/489,762
  6. Step 6: Final answer
    x = 1,124,261.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.