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Finding the Third Proportional to 430,998.47 and 652,489.17

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Solution

The third proportional to 430,998.47 and 652,489.17 is: 987,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,998.47 : 652,489.17 = 652,489.17 : x
  2. Step 2: Convert to fraction form
    430,998.47/652,489.17 = 652,489.17/x
  3. Step 3: Cross multiply
    430,998.47x = 652,489.17 × 652,489.17
  4. Step 4: Simplify right side
    430,998.47x = 425,742,119,414.12
  5. Step 5: Solve for x
    x = 425,742,119,414.12/430,998.47
  6. Step 6: Final answer
    x = 987,804.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.