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Finding the Third Proportional to 432,588 and 645,294

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Solution

The third proportional to 432,588 and 645,294 is: 962,588.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,588 : 645,294 = 645,294 : x
  2. Step 2: Convert to fraction form
    432,588/645,294 = 645,294/x
  3. Step 3: Cross multiply
    432,588x = 645,294 × 645,294
  4. Step 4: Simplify right side
    432,588x = 416,404,346,436
  5. Step 5: Solve for x
    x = 416,404,346,436/432,588
  6. Step 6: Final answer
    x = 962,588.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.