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Finding the Third Proportional to 70,488 and 147,895

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Solution

The third proportional to 70,488 and 147,895 is: 310,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,488 : 147,895 = 147,895 : x
  2. Step 2: Convert to fraction form
    70,488/147,895 = 147,895/x
  3. Step 3: Cross multiply
    70,488x = 147,895 × 147,895
  4. Step 4: Simplify right side
    70,488x = 21,872,931,025
  5. Step 5: Solve for x
    x = 21,872,931,025/70,488
  6. Step 6: Final answer
    x = 310,307.16

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.