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Finding the Third Proportional to 802,116 and 1,712,475

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Solution

The third proportional to 802,116 and 1,712,475 is: 3,656,043.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,116 : 1,712,475 = 1,712,475 : x
  2. Step 2: Convert to fraction form
    802,116/1,712,475 = 1,712,475/x
  3. Step 3: Cross multiply
    802,116x = 1,712,475 × 1,712,475
  4. Step 4: Simplify right side
    802,116x = 2,932,570,625,625
  5. Step 5: Solve for x
    x = 2,932,570,625,625/802,116
  6. Step 6: Final answer
    x = 3,656,043.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.