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Finding the Third Proportional to 30,070 and 64,953

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Solution

The third proportional to 30,070 and 64,953 is: 140,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,070 : 64,953 = 64,953 : x
  2. Step 2: Convert to fraction form
    30,070/64,953 = 64,953/x
  3. Step 3: Cross multiply
    30,070x = 64,953 × 64,953
  4. Step 4: Simplify right side
    30,070x = 4,218,892,209
  5. Step 5: Solve for x
    x = 4,218,892,209/30,070
  6. Step 6: Final answer
    x = 140,302.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.