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Finding the Third Proportional to 145,628 and 219,776

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Solution

The third proportional to 145,628 and 219,776 is: 331,677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,628 : 219,776 = 219,776 : x
  2. Step 2: Convert to fraction form
    145,628/219,776 = 219,776/x
  3. Step 3: Cross multiply
    145,628x = 219,776 × 219,776
  4. Step 4: Simplify right side
    145,628x = 48,301,490,176
  5. Step 5: Solve for x
    x = 48,301,490,176/145,628
  6. Step 6: Final answer
    x = 331,677.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.