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Finding the Third Proportional to 438,098 and 626,043

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Solution

The third proportional to 438,098 and 626,043 is: 894,616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,098 : 626,043 = 626,043 : x
  2. Step 2: Convert to fraction form
    438,098/626,043 = 626,043/x
  3. Step 3: Cross multiply
    438,098x = 626,043 × 626,043
  4. Step 4: Simplify right side
    438,098x = 391,929,837,849
  5. Step 5: Solve for x
    x = 391,929,837,849/438,098
  6. Step 6: Final answer
    x = 894,616.82

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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.