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Finding the Third Proportional to 643,308 and 946,248

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Solution

The third proportional to 643,308 and 946,248 is: 1,391,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,308 : 946,248 = 946,248 : x
  2. Step 2: Convert to fraction form
    643,308/946,248 = 946,248/x
  3. Step 3: Cross multiply
    643,308x = 946,248 × 946,248
  4. Step 4: Simplify right side
    643,308x = 895,385,277,504
  5. Step 5: Solve for x
    x = 895,385,277,504/643,308
  6. Step 6: Final answer
    x = 1,391,845.40

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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.