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Finding the Third Proportional to 145,156.13 and 313,666.50

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Solution

The third proportional to 145,156.13 and 313,666.50 is: 677,798.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,156.13 : 313,666.50 = 313,666.50 : x
  2. Step 2: Convert to fraction form
    145,156.13/313,666.50 = 313,666.50/x
  3. Step 3: Cross multiply
    145,156.13x = 313,666.50 × 313,666.50
  4. Step 4: Simplify right side
    145,156.13x = 98,386,673,222.25
  5. Step 5: Solve for x
    x = 98,386,673,222.25/145,156.13
  6. Step 6: Final answer
    x = 677,798.98

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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.