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Finding the Third Proportional to 660,428 and 1,447,432

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Solution

The third proportional to 660,428 and 1,447,432 is: 3,172,275.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,428 : 1,447,432 = 1,447,432 : x
  2. Step 2: Convert to fraction form
    660,428/1,447,432 = 1,447,432/x
  3. Step 3: Cross multiply
    660,428x = 1,447,432 × 1,447,432
  4. Step 4: Simplify right side
    660,428x = 2,095,059,394,624
  5. Step 5: Solve for x
    x = 2,095,059,394,624/660,428
  6. Step 6: Final answer
    x = 3,172,275.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.