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Finding the Third Proportional to 354,725 and 521,715

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Solution

The third proportional to 354,725 and 521,715 is: 767,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,725 : 521,715 = 521,715 : x
  2. Step 2: Convert to fraction form
    354,725/521,715 = 521,715/x
  3. Step 3: Cross multiply
    354,725x = 521,715 × 521,715
  4. Step 4: Simplify right side
    354,725x = 272,186,541,225
  5. Step 5: Solve for x
    x = 272,186,541,225/354,725
  6. Step 6: Final answer
    x = 767,317.05

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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.