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Finding the Third Proportional to 610,428 and 898,000

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Solution

The third proportional to 610,428 and 898,000 is: 1,321,046.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,428 : 898,000 = 898,000 : x
  2. Step 2: Convert to fraction form
    610,428/898,000 = 898,000/x
  3. Step 3: Cross multiply
    610,428x = 898,000 × 898,000
  4. Step 4: Simplify right side
    610,428x = 806,404,000,000
  5. Step 5: Solve for x
    x = 806,404,000,000/610,428
  6. Step 6: Final answer
    x = 1,321,046.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.