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Finding the Third Proportional to 657,482.25 and 890,966.25

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Solution

The third proportional to 657,482.25 and 890,966.25 is: 1,207,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,482.25 : 890,966.25 = 890,966.25 : x
  2. Step 2: Convert to fraction form
    657,482.25/890,966.25 = 890,966.25/x
  3. Step 3: Cross multiply
    657,482.25x = 890,966.25 × 890,966.25
  4. Step 4: Simplify right side
    657,482.25x = 793,820,858,639.06
  5. Step 5: Solve for x
    x = 793,820,858,639.06/657,482.25
  6. Step 6: Final answer
    x = 1,207,364.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.