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Finding the Third Proportional to 424,416 and 915,306

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Solution

The third proportional to 424,416 and 915,306 is: 1,973,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,416 : 915,306 = 915,306 : x
  2. Step 2: Convert to fraction form
    424,416/915,306 = 915,306/x
  3. Step 3: Cross multiply
    424,416x = 915,306 × 915,306
  4. Step 4: Simplify right side
    424,416x = 837,785,073,636
  5. Step 5: Solve for x
    x = 837,785,073,636/424,416
  6. Step 6: Final answer
    x = 1,973,971.47

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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.