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Finding the Third Proportional to 424,692 and 915,804

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Solution

The third proportional to 424,692 and 915,804 is: 1,974,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,692 : 915,804 = 915,804 : x
  2. Step 2: Convert to fraction form
    424,692/915,804 = 915,804/x
  3. Step 3: Cross multiply
    424,692x = 915,804 × 915,804
  4. Step 4: Simplify right side
    424,692x = 838,696,966,416
  5. Step 5: Solve for x
    x = 838,696,966,416/424,692
  6. Step 6: Final answer
    x = 1,974,835.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.