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Finding the Third Proportional to 459,087 and 615,730

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Solution

The third proportional to 459,087 and 615,730 is: 825,820.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,087 : 615,730 = 615,730 : x
  2. Step 2: Convert to fraction form
    459,087/615,730 = 615,730/x
  3. Step 3: Cross multiply
    459,087x = 615,730 × 615,730
  4. Step 4: Simplify right side
    459,087x = 379,123,432,900
  5. Step 5: Solve for x
    x = 379,123,432,900/459,087
  6. Step 6: Final answer
    x = 825,820.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.