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Finding the Third Proportional to 354,748 and 521,748

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Solution

The third proportional to 354,748 and 521,748 is: 767,364.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,748 : 521,748 = 521,748 : x
  2. Step 2: Convert to fraction form
    354,748/521,748 = 521,748/x
  3. Step 3: Cross multiply
    354,748x = 521,748 × 521,748
  4. Step 4: Simplify right side
    354,748x = 272,220,975,504
  5. Step 5: Solve for x
    x = 272,220,975,504/354,748
  6. Step 6: Final answer
    x = 767,364.37

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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.