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Finding the Third Proportional to 437,490 and 625,603

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Solution

The third proportional to 437,490 and 625,603 is: 894,601.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,490 : 625,603 = 625,603 : x
  2. Step 2: Convert to fraction form
    437,490/625,603 = 625,603/x
  3. Step 3: Cross multiply
    437,490x = 625,603 × 625,603
  4. Step 4: Simplify right side
    437,490x = 391,379,113,609
  5. Step 5: Solve for x
    x = 391,379,113,609/437,490
  6. Step 6: Final answer
    x = 894,601.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.