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Finding the Third Proportional to 610,840 and 898,460

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Solution

The third proportional to 610,840 and 898,460 is: 1,321,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,840 : 898,460 = 898,460 : x
  2. Step 2: Convert to fraction form
    610,840/898,460 = 898,460/x
  3. Step 3: Cross multiply
    610,840x = 898,460 × 898,460
  4. Step 4: Simplify right side
    610,840x = 807,230,371,600
  5. Step 5: Solve for x
    x = 807,230,371,600/610,840
  6. Step 6: Final answer
    x = 1,321,508.70

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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.