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Finding the Third Proportional to 653,032.13 and 989,407.13

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Solution

The third proportional to 653,032.13 and 989,407.13 is: 1,499,047.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,032.13 : 989,407.13 = 989,407.13 : x
  2. Step 2: Convert to fraction form
    653,032.13/989,407.13 = 989,407.13/x
  3. Step 3: Cross multiply
    653,032.13x = 989,407.13 × 989,407.13
  4. Step 4: Simplify right side
    653,032.13x = 978,926,459,000.77
  5. Step 5: Solve for x
    x = 978,926,459,000.77/653,032.13
  6. Step 6: Final answer
    x = 1,499,047.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.