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Finding the Third Proportional to 489,362 and 712,740

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Solution

The third proportional to 489,362 and 712,740 is: 1,038,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,362 : 712,740 = 712,740 : x
  2. Step 2: Convert to fraction form
    489,362/712,740 = 712,740/x
  3. Step 3: Cross multiply
    489,362x = 712,740 × 712,740
  4. Step 4: Simplify right side
    489,362x = 507,998,307,600
  5. Step 5: Solve for x
    x = 507,998,307,600/489,362
  6. Step 6: Final answer
    x = 1,038,082.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.