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Finding the Third Proportional to 316,783 and 689,335

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Solution

The third proportional to 316,783 and 689,335 is: 1,500,026.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,783 : 689,335 = 689,335 : x
  2. Step 2: Convert to fraction form
    316,783/689,335 = 689,335/x
  3. Step 3: Cross multiply
    316,783x = 689,335 × 689,335
  4. Step 4: Simplify right side
    316,783x = 475,182,742,225
  5. Step 5: Solve for x
    x = 475,182,742,225/316,783
  6. Step 6: Final answer
    x = 1,500,026.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.