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Finding the Third Proportional to 489,360 and 712,737

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Solution

The third proportional to 489,360 and 712,737 is: 1,038,078.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,360 : 712,737 = 712,737 : x
  2. Step 2: Convert to fraction form
    489,360/712,737 = 712,737/x
  3. Step 3: Cross multiply
    489,360x = 712,737 × 712,737
  4. Step 4: Simplify right side
    489,360x = 507,994,031,169
  5. Step 5: Solve for x
    x = 507,994,031,169/489,360
  6. Step 6: Final answer
    x = 1,038,078.37

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