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Finding the Third Proportional to 145,024.88 and 317,929.50

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Solution

The third proportional to 145,024.88 and 317,929.50 is: 696,978.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,024.88 : 317,929.50 = 317,929.50 : x
  2. Step 2: Convert to fraction form
    145,024.88/317,929.50 = 317,929.50/x
  3. Step 3: Cross multiply
    145,024.88x = 317,929.50 × 317,929.50
  4. Step 4: Simplify right side
    145,024.88x = 101,079,166,970.25
  5. Step 5: Solve for x
    x = 101,079,166,970.25/145,024.88
  6. Step 6: Final answer
    x = 696,978.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.