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Finding the Third Proportional to 421,876.50 and 653,409

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Solution

The third proportional to 421,876.50 and 653,409 is: 1,012,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,876.50 : 653,409 = 653,409 : x
  2. Step 2: Convert to fraction form
    421,876.50/653,409 = 653,409/x
  3. Step 3: Cross multiply
    421,876.50x = 653,409 × 653,409
  4. Step 4: Simplify right side
    421,876.50x = 426,943,321,281
  5. Step 5: Solve for x
    x = 426,943,321,281/421,876.50
  6. Step 6: Final answer
    x = 1,012,010.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.