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Finding the Third Proportional to 498,955 and 781,658

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Solution

The third proportional to 498,955 and 781,658 is: 1,224,537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,955 : 781,658 = 781,658 : x
  2. Step 2: Convert to fraction form
    498,955/781,658 = 781,658/x
  3. Step 3: Cross multiply
    498,955x = 781,658 × 781,658
  4. Step 4: Simplify right side
    498,955x = 610,989,228,964
  5. Step 5: Solve for x
    x = 610,989,228,964/498,955
  6. Step 6: Final answer
    x = 1,224,537.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.