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Finding the Third Proportional to 657,639 and 986,549.63

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Solution

The third proportional to 657,639 and 986,549.63 is: 1,479,961.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,639 : 986,549.63 = 986,549.63 : x
  2. Step 2: Convert to fraction form
    657,639/986,549.63 = 986,549.63/x
  3. Step 3: Cross multiply
    657,639x = 986,549.63 × 986,549.63
  4. Step 4: Simplify right side
    657,639x = 973,280,162,587.64
  5. Step 5: Solve for x
    x = 973,280,162,587.64/657,639
  6. Step 6: Final answer
    x = 1,479,961.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.