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Finding the Third Proportional to 289,666.13 and 432,853.88

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Solution

The third proportional to 289,666.13 and 432,853.88 is: 646,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,666.13 : 432,853.88 = 432,853.88 : x
  2. Step 2: Convert to fraction form
    289,666.13/432,853.88 = 432,853.88/x
  3. Step 3: Cross multiply
    289,666.13x = 432,853.88 × 432,853.88
  4. Step 4: Simplify right side
    289,666.13x = 187,362,477,102.52
  5. Step 5: Solve for x
    x = 187,362,477,102.52/289,666.13
  6. Step 6: Final answer
    x = 646,822.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.