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Finding the Third Proportional to 296,465 and 648,289

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Solution

The third proportional to 296,465 and 648,289 is: 1,417,633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,465 : 648,289 = 648,289 : x
  2. Step 2: Convert to fraction form
    296,465/648,289 = 648,289/x
  3. Step 3: Cross multiply
    296,465x = 648,289 × 648,289
  4. Step 4: Simplify right side
    296,465x = 420,278,627,521
  5. Step 5: Solve for x
    x = 420,278,627,521/296,465
  6. Step 6: Final answer
    x = 1,417,633.20

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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.