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Finding the Third Proportional to 357,152 and 705,472

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Solution

The third proportional to 357,152 and 705,472 is: 1,393,498.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,152 : 705,472 = 705,472 : x
  2. Step 2: Convert to fraction form
    357,152/705,472 = 705,472/x
  3. Step 3: Cross multiply
    357,152x = 705,472 × 705,472
  4. Step 4: Simplify right side
    357,152x = 497,690,742,784
  5. Step 5: Solve for x
    x = 497,690,742,784/357,152
  6. Step 6: Final answer
    x = 1,393,498.41

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.