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Finding the Third Proportional to 286,717.50 and 455,502

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Solution

The third proportional to 286,717.50 and 455,502 is: 723,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,717.50 : 455,502 = 455,502 : x
  2. Step 2: Convert to fraction form
    286,717.50/455,502 = 455,502/x
  3. Step 3: Cross multiply
    286,717.50x = 455,502 × 455,502
  4. Step 4: Simplify right side
    286,717.50x = 207,482,072,004
  5. Step 5: Solve for x
    x = 207,482,072,004/286,717.50
  6. Step 6: Final answer
    x = 723,646.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.