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Finding the Third Proportional to 423,943 and 898,430

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Solution

The third proportional to 423,943 and 898,430 is: 1,903,974.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,943 : 898,430 = 898,430 : x
  2. Step 2: Convert to fraction form
    423,943/898,430 = 898,430/x
  3. Step 3: Cross multiply
    423,943x = 898,430 × 898,430
  4. Step 4: Simplify right side
    423,943x = 807,176,464,900
  5. Step 5: Solve for x
    x = 807,176,464,900/423,943
  6. Step 6: Final answer
    x = 1,903,974.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.