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Finding the Third Proportional to 542,640 and 841,080

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Solution

The third proportional to 542,640 and 841,080 is: 1,303,655.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,640 : 841,080 = 841,080 : x
  2. Step 2: Convert to fraction form
    542,640/841,080 = 841,080/x
  3. Step 3: Cross multiply
    542,640x = 841,080 × 841,080
  4. Step 4: Simplify right side
    542,640x = 707,415,566,400
  5. Step 5: Solve for x
    x = 707,415,566,400/542,640
  6. Step 6: Final answer
    x = 1,303,655.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.