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Finding the Third Proportional to 145,972.50 and 310,776

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Solution

The third proportional to 145,972.50 and 310,776 is: 661,643.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,972.50 : 310,776 = 310,776 : x
  2. Step 2: Convert to fraction form
    145,972.50/310,776 = 310,776/x
  3. Step 3: Cross multiply
    145,972.50x = 310,776 × 310,776
  4. Step 4: Simplify right side
    145,972.50x = 96,581,722,176
  5. Step 5: Solve for x
    x = 96,581,722,176/145,972.50
  6. Step 6: Final answer
    x = 661,643.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.