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Finding the Third Proportional to 145,840.50 and 312,417

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Solution

The third proportional to 145,840.50 and 312,417 is: 669,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,840.50 : 312,417 = 312,417 : x
  2. Step 2: Convert to fraction form
    145,840.50/312,417 = 312,417/x
  3. Step 3: Cross multiply
    145,840.50x = 312,417 × 312,417
  4. Step 4: Simplify right side
    145,840.50x = 97,604,381,889
  5. Step 5: Solve for x
    x = 97,604,381,889/145,840.50
  6. Step 6: Final answer
    x = 669,254.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.