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Finding the Third Proportional to 688,117.50 and 740,605.50

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Solution

The third proportional to 688,117.50 and 740,605.50 is: 797,097.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,117.50 : 740,605.50 = 740,605.50 : x
  2. Step 2: Convert to fraction form
    688,117.50/740,605.50 = 740,605.50/x
  3. Step 3: Cross multiply
    688,117.50x = 740,605.50 × 740,605.50
  4. Step 4: Simplify right side
    688,117.50x = 548,496,506,630.25
  5. Step 5: Solve for x
    x = 548,496,506,630.25/688,117.50
  6. Step 6: Final answer
    x = 797,097.16

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.