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Finding the Third Proportional to 612,810 and 915,507

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Solution

The third proportional to 612,810 and 915,507 is: 1,367,720.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,810 : 915,507 = 915,507 : x
  2. Step 2: Convert to fraction form
    612,810/915,507 = 915,507/x
  3. Step 3: Cross multiply
    612,810x = 915,507 × 915,507
  4. Step 4: Simplify right side
    612,810x = 838,153,067,049
  5. Step 5: Solve for x
    x = 838,153,067,049/612,810
  6. Step 6: Final answer
    x = 1,367,720.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.