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Finding the Third Proportional to 464,513.63 and 688,135.50

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Solution

The third proportional to 464,513.63 and 688,135.50 is: 1,019,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,513.63 : 688,135.50 = 688,135.50 : x
  2. Step 2: Convert to fraction form
    464,513.63/688,135.50 = 688,135.50/x
  3. Step 3: Cross multiply
    464,513.63x = 688,135.50 × 688,135.50
  4. Step 4: Simplify right side
    464,513.63x = 473,530,466,360.25
  5. Step 5: Solve for x
    x = 473,530,466,360.25/464,513.63
  6. Step 6: Final answer
    x = 1,019,411.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.