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Finding the Third Proportional to 690,432 and 1,480,320

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Solution

The third proportional to 690,432 and 1,480,320 is: 3,173,878.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,432 : 1,480,320 = 1,480,320 : x
  2. Step 2: Convert to fraction form
    690,432/1,480,320 = 1,480,320/x
  3. Step 3: Cross multiply
    690,432x = 1,480,320 × 1,480,320
  4. Step 4: Simplify right side
    690,432x = 2,191,347,302,400
  5. Step 5: Solve for x
    x = 2,191,347,302,400/690,432
  6. Step 6: Final answer
    x = 3,173,878.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.