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Finding the Third Proportional to 510.75 and 705

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Solution

The third proportional to 510.75 and 705 is: 973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.75 : 705 = 705 : x
  2. Step 2: Convert to fraction form
    510.75/705 = 705/x
  3. Step 3: Cross multiply
    510.75x = 705 × 705
  4. Step 4: Simplify right side
    510.75x = 497,025
  5. Step 5: Solve for x
    x = 497,025/510.75
  6. Step 6: Final answer
    x = 973.13

Related Problems

Find third proportional to 255.38 and 352.50
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.