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Finding the Third Proportional to 427,816.13 and 657,641.25

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Solution

The third proportional to 427,816.13 and 657,641.25 is: 1,010,929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,816.13 : 657,641.25 = 657,641.25 : x
  2. Step 2: Convert to fraction form
    427,816.13/657,641.25 = 657,641.25/x
  3. Step 3: Cross multiply
    427,816.13x = 657,641.25 × 657,641.25
  4. Step 4: Simplify right side
    427,816.13x = 432,492,013,701.56
  5. Step 5: Solve for x
    x = 432,492,013,701.56/427,816.13
  6. Step 6: Final answer
    x = 1,010,929.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.