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Finding the Third Proportional to 528,670 and 753,638

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Solution

The third proportional to 528,670 and 753,638 is: 1,074,337.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,670 : 753,638 = 753,638 : x
  2. Step 2: Convert to fraction form
    528,670/753,638 = 753,638/x
  3. Step 3: Cross multiply
    528,670x = 753,638 × 753,638
  4. Step 4: Simplify right side
    528,670x = 567,970,235,044
  5. Step 5: Solve for x
    x = 567,970,235,044/528,670
  6. Step 6: Final answer
    x = 1,074,337.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.