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Finding the Third Proportional to 145,692 and 317,862

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Solution

The third proportional to 145,692 and 317,862 is: 693,492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,692 : 317,862 = 317,862 : x
  2. Step 2: Convert to fraction form
    145,692/317,862 = 317,862/x
  3. Step 3: Cross multiply
    145,692x = 317,862 × 317,862
  4. Step 4: Simplify right side
    145,692x = 101,036,251,044
  5. Step 5: Solve for x
    x = 101,036,251,044/145,692
  6. Step 6: Final answer
    x = 693,492.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.