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Finding the Third Proportional to 70,506 and 77,886

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Solution

The third proportional to 70,506 and 77,886 is: 86,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,506 : 77,886 = 77,886 : x
  2. Step 2: Convert to fraction form
    70,506/77,886 = 77,886/x
  3. Step 3: Cross multiply
    70,506x = 77,886 × 77,886
  4. Step 4: Simplify right side
    70,506x = 6,066,228,996
  5. Step 5: Solve for x
    x = 6,066,228,996/70,506
  6. Step 6: Final answer
    x = 86,038.48

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.