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Finding the Third Proportional to 489,248 and 688,970

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Solution

The third proportional to 489,248 and 688,970 is: 970,223.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,248 : 688,970 = 688,970 : x
  2. Step 2: Convert to fraction form
    489,248/688,970 = 688,970/x
  3. Step 3: Cross multiply
    489,248x = 688,970 × 688,970
  4. Step 4: Simplify right side
    489,248x = 474,679,660,900
  5. Step 5: Solve for x
    x = 474,679,660,900/489,248
  6. Step 6: Final answer
    x = 970,223.00

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.