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Finding the Third Proportional to 643,440 and 946,428

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Solution

The third proportional to 643,440 and 946,428 is: 1,392,089.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,440 : 946,428 = 946,428 : x
  2. Step 2: Convert to fraction form
    643,440/946,428 = 946,428/x
  3. Step 3: Cross multiply
    643,440x = 946,428 × 946,428
  4. Step 4: Simplify right side
    643,440x = 895,725,959,184
  5. Step 5: Solve for x
    x = 895,725,959,184/643,440
  6. Step 6: Final answer
    x = 1,392,089.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.