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Finding the Third Proportional to 989,175 and 1,488,403

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Solution

The third proportional to 989,175 and 1,488,403 is: 2,239,587.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    989,175 : 1,488,403 = 1,488,403 : x
  2. Step 2: Convert to fraction form
    989,175/1,488,403 = 1,488,403/x
  3. Step 3: Cross multiply
    989,175x = 1,488,403 × 1,488,403
  4. Step 4: Simplify right side
    989,175x = 2,215,343,490,409
  5. Step 5: Solve for x
    x = 2,215,343,490,409/989,175
  6. Step 6: Final answer
    x = 2,239,587.02

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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.