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Finding the Third Proportional to 69,642 and 101,547

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Solution

The third proportional to 69,642 and 101,547 is: 148,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,642 : 101,547 = 101,547 : x
  2. Step 2: Convert to fraction form
    69,642/101,547 = 101,547/x
  3. Step 3: Cross multiply
    69,642x = 101,547 × 101,547
  4. Step 4: Simplify right side
    69,642x = 10,311,793,209
  5. Step 5: Solve for x
    x = 10,311,793,209/69,642
  6. Step 6: Final answer
    x = 148,068.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.