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Finding the Third Proportional to 634,386.75 and 983,792.25

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Solution

The third proportional to 634,386.75 and 983,792.25 is: 1,525,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,386.75 : 983,792.25 = 983,792.25 : x
  2. Step 2: Convert to fraction form
    634,386.75/983,792.25 = 983,792.25/x
  3. Step 3: Cross multiply
    634,386.75x = 983,792.25 × 983,792.25
  4. Step 4: Simplify right side
    634,386.75x = 967,847,191,160.06
  5. Step 5: Solve for x
    x = 967,847,191,160.06/634,386.75
  6. Step 6: Final answer
    x = 1,525,642.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.