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Finding the Third Proportional to 623,878 and 931,658

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Solution

The third proportional to 623,878 and 931,658 is: 1,391,276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,878 : 931,658 = 931,658 : x
  2. Step 2: Convert to fraction form
    623,878/931,658 = 931,658/x
  3. Step 3: Cross multiply
    623,878x = 931,658 × 931,658
  4. Step 4: Simplify right side
    623,878x = 867,986,628,964
  5. Step 5: Solve for x
    x = 867,986,628,964/623,878
  6. Step 6: Final answer
    x = 1,391,276.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.