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Finding the Third Proportional to 686,090 and 1,060,239

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Solution

The third proportional to 686,090 and 1,060,239 is: 1,638,424.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,090 : 1,060,239 = 1,060,239 : x
  2. Step 2: Convert to fraction form
    686,090/1,060,239 = 1,060,239/x
  3. Step 3: Cross multiply
    686,090x = 1,060,239 × 1,060,239
  4. Step 4: Simplify right side
    686,090x = 1,124,106,737,121
  5. Step 5: Solve for x
    x = 1,124,106,737,121/686,090
  6. Step 6: Final answer
    x = 1,638,424.60

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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.