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Finding the Third Proportional to 528,721 and 753,715.50

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Solution

The third proportional to 528,721 and 753,715.50 is: 1,074,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,721 : 753,715.50 = 753,715.50 : x
  2. Step 2: Convert to fraction form
    528,721/753,715.50 = 753,715.50/x
  3. Step 3: Cross multiply
    528,721x = 753,715.50 × 753,715.50
  4. Step 4: Simplify right side
    528,721x = 568,087,054,940.25
  5. Step 5: Solve for x
    x = 568,087,054,940.25/528,721
  6. Step 6: Final answer
    x = 1,074,455.25

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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.