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Finding the Third Proportional to 310,465 and 455,475

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Solution

The third proportional to 310,465 and 455,475 is: 668,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,465 : 455,475 = 455,475 : x
  2. Step 2: Convert to fraction form
    310,465/455,475 = 455,475/x
  3. Step 3: Cross multiply
    310,465x = 455,475 × 455,475
  4. Step 4: Simplify right side
    310,465x = 207,457,475,625
  5. Step 5: Solve for x
    x = 207,457,475,625/310,465
  6. Step 6: Final answer
    x = 668,215.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.