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Finding the Third Proportional to 577,839 and 889,312

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Solution

The third proportional to 577,839 and 889,312 is: 1,368,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,839 : 889,312 = 889,312 : x
  2. Step 2: Convert to fraction form
    577,839/889,312 = 889,312/x
  3. Step 3: Cross multiply
    577,839x = 889,312 × 889,312
  4. Step 4: Simplify right side
    577,839x = 790,875,833,344
  5. Step 5: Solve for x
    x = 790,875,833,344/577,839
  6. Step 6: Final answer
    x = 1,368,678.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.