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Finding the Third Proportional to 459,348 and 670,877

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Solution

The third proportional to 459,348 and 670,877 is: 979,814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,348 : 670,877 = 670,877 : x
  2. Step 2: Convert to fraction form
    459,348/670,877 = 670,877/x
  3. Step 3: Cross multiply
    459,348x = 670,877 × 670,877
  4. Step 4: Simplify right side
    459,348x = 450,075,949,129
  5. Step 5: Solve for x
    x = 450,075,949,129/459,348
  6. Step 6: Final answer
    x = 979,814.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.