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Finding the Third Proportional to 310,513 and 468,721

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Solution

The third proportional to 310,513 and 468,721 is: 707,536.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,513 : 468,721 = 468,721 : x
  2. Step 2: Convert to fraction form
    310,513/468,721 = 468,721/x
  3. Step 3: Cross multiply
    310,513x = 468,721 × 468,721
  4. Step 4: Simplify right side
    310,513x = 219,699,375,841
  5. Step 5: Solve for x
    x = 219,699,375,841/310,513
  6. Step 6: Final answer
    x = 707,536.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.