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Finding the Third Proportional to 424,438 and 912,082

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Solution

The third proportional to 424,438 and 912,082 is: 1,959,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,438 : 912,082 = 912,082 : x
  2. Step 2: Convert to fraction form
    424,438/912,082 = 912,082/x
  3. Step 3: Cross multiply
    424,438x = 912,082 × 912,082
  4. Step 4: Simplify right side
    424,438x = 831,893,574,724
  5. Step 5: Solve for x
    x = 831,893,574,724/424,438
  6. Step 6: Final answer
    x = 1,959,988.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.