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Finding the Third Proportional to 280,108.13 and 402,666.19

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Solution

The third proportional to 280,108.13 and 402,666.19 is: 578,848.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,108.13 : 402,666.19 = 402,666.19 : x
  2. Step 2: Convert to fraction form
    280,108.13/402,666.19 = 402,666.19/x
  3. Step 3: Cross multiply
    280,108.13x = 402,666.19 × 402,666.19
  4. Step 4: Simplify right side
    280,108.13x = 162,140,058,555.79
  5. Step 5: Solve for x
    x = 162,140,058,555.79/280,108.13
  6. Step 6: Final answer
    x = 578,848.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.