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Finding the Third Proportional to 638,090 and 988,506

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Solution

The third proportional to 638,090 and 988,506 is: 1,531,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,090 : 988,506 = 988,506 : x
  2. Step 2: Convert to fraction form
    638,090/988,506 = 988,506/x
  3. Step 3: Cross multiply
    638,090x = 988,506 × 988,506
  4. Step 4: Simplify right side
    638,090x = 977,144,112,036
  5. Step 5: Solve for x
    x = 977,144,112,036/638,090
  6. Step 6: Final answer
    x = 1,531,357.82

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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.