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Finding the Third Proportional to 635,480 and 983,076

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Solution

The third proportional to 635,480 and 983,076 is: 1,520,800.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,480 : 983,076 = 983,076 : x
  2. Step 2: Convert to fraction form
    635,480/983,076 = 983,076/x
  3. Step 3: Cross multiply
    635,480x = 983,076 × 983,076
  4. Step 4: Simplify right side
    635,480x = 966,438,421,776
  5. Step 5: Solve for x
    x = 966,438,421,776/635,480
  6. Step 6: Final answer
    x = 1,520,800.69

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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.