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Finding the Third Proportional to 435,894 and 660,360

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Solution

The third proportional to 435,894 and 660,360 is: 1,000,415.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,894 : 660,360 = 660,360 : x
  2. Step 2: Convert to fraction form
    435,894/660,360 = 660,360/x
  3. Step 3: Cross multiply
    435,894x = 660,360 × 660,360
  4. Step 4: Simplify right side
    435,894x = 436,075,329,600
  5. Step 5: Solve for x
    x = 436,075,329,600/435,894
  6. Step 6: Final answer
    x = 1,000,415.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.