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Finding the Third Proportional to 345,798 and 708,726

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Solution

The third proportional to 345,798 and 708,726 is: 1,452,560.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,798 : 708,726 = 708,726 : x
  2. Step 2: Convert to fraction form
    345,798/708,726 = 708,726/x
  3. Step 3: Cross multiply
    345,798x = 708,726 × 708,726
  4. Step 4: Simplify right side
    345,798x = 502,292,543,076
  5. Step 5: Solve for x
    x = 502,292,543,076/345,798
  6. Step 6: Final answer
    x = 1,452,560.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.