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Finding the Third Proportional to 842,136 and 1,294,438

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Solution

The third proportional to 842,136 and 1,294,438 is: 1,989,666.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,136 : 1,294,438 = 1,294,438 : x
  2. Step 2: Convert to fraction form
    842,136/1,294,438 = 1,294,438/x
  3. Step 3: Cross multiply
    842,136x = 1,294,438 × 1,294,438
  4. Step 4: Simplify right side
    842,136x = 1,675,569,735,844
  5. Step 5: Solve for x
    x = 1,675,569,735,844/842,136
  6. Step 6: Final answer
    x = 1,989,666.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.