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Finding the Third Proportional to 145,582 and 318,320

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Solution

The third proportional to 145,582 and 318,320 is: 696,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,582 : 318,320 = 318,320 : x
  2. Step 2: Convert to fraction form
    145,582/318,320 = 318,320/x
  3. Step 3: Cross multiply
    145,582x = 318,320 × 318,320
  4. Step 4: Simplify right side
    145,582x = 101,327,622,400
  5. Step 5: Solve for x
    x = 101,327,622,400/145,582
  6. Step 6: Final answer
    x = 696,017.52

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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.