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Finding the Third Proportional to 310,462 and 455,470

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Solution

The third proportional to 310,462 and 455,470 is: 668,207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,462 : 455,470 = 455,470 : x
  2. Step 2: Convert to fraction form
    310,462/455,470 = 455,470/x
  3. Step 3: Cross multiply
    310,462x = 455,470 × 455,470
  4. Step 4: Simplify right side
    310,462x = 207,452,920,900
  5. Step 5: Solve for x
    x = 207,452,920,900/310,462
  6. Step 6: Final answer
    x = 668,207.13

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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.