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Finding the Third Proportional to 153,386.16 and 314,206.59

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Solution

The third proportional to 153,386.16 and 314,206.59 is: 643,642.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,386.16 : 314,206.59 = 314,206.59 : x
  2. Step 2: Convert to fraction form
    153,386.16/314,206.59 = 314,206.59/x
  3. Step 3: Cross multiply
    153,386.16x = 314,206.59 × 314,206.59
  4. Step 4: Simplify right side
    153,386.16x = 98,725,783,555.98
  5. Step 5: Solve for x
    x = 98,725,783,555.98/153,386.16
  6. Step 6: Final answer
    x = 643,642.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.