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Finding the Third Proportional to 652,372 and 918,688

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Solution

The third proportional to 652,372 and 918,688 is: 1,293,721.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,372 : 918,688 = 918,688 : x
  2. Step 2: Convert to fraction form
    652,372/918,688 = 918,688/x
  3. Step 3: Cross multiply
    652,372x = 918,688 × 918,688
  4. Step 4: Simplify right side
    652,372x = 843,987,641,344
  5. Step 5: Solve for x
    x = 843,987,641,344/652,372
  6. Step 6: Final answer
    x = 1,293,721.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.