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Finding the Third Proportional to 623,945 and 987,136

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Solution

The third proportional to 623,945 and 987,136 is: 1,561,736.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,945 : 987,136 = 987,136 : x
  2. Step 2: Convert to fraction form
    623,945/987,136 = 987,136/x
  3. Step 3: Cross multiply
    623,945x = 987,136 × 987,136
  4. Step 4: Simplify right side
    623,945x = 974,437,482,496
  5. Step 5: Solve for x
    x = 974,437,482,496/623,945
  6. Step 6: Final answer
    x = 1,561,736.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.