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Finding the Third Proportional to 549,687.19 and 840,878.16

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Solution

The third proportional to 549,687.19 and 840,878.16 is: 1,286,324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,687.19 : 840,878.16 = 840,878.16 : x
  2. Step 2: Convert to fraction form
    549,687.19/840,878.16 = 840,878.16/x
  3. Step 3: Cross multiply
    549,687.19x = 840,878.16 × 840,878.16
  4. Step 4: Simplify right side
    549,687.19x = 707,076,073,658.40
  5. Step 5: Solve for x
    x = 707,076,073,658.40/549,687.19
  6. Step 6: Final answer
    x = 1,286,324.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.