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Finding the Third Proportional to 617,824 and 986,688

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Solution

The third proportional to 617,824 and 986,688 is: 1,575,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,824 : 986,688 = 986,688 : x
  2. Step 2: Convert to fraction form
    617,824/986,688 = 986,688/x
  3. Step 3: Cross multiply
    617,824x = 986,688 × 986,688
  4. Step 4: Simplify right side
    617,824x = 973,553,209,344
  5. Step 5: Solve for x
    x = 973,553,209,344/617,824
  6. Step 6: Final answer
    x = 1,575,777.58

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.