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Finding the Third Proportional to 310,547.25 and 470,478.38

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Solution

The third proportional to 310,547.25 and 470,478.38 is: 712,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,547.25 : 470,478.38 = 470,478.38 : x
  2. Step 2: Convert to fraction form
    310,547.25/470,478.38 = 470,478.38/x
  3. Step 3: Cross multiply
    310,547.25x = 470,478.38 × 470,478.38
  4. Step 4: Simplify right side
    310,547.25x = 221,349,901,342.64
  5. Step 5: Solve for x
    x = 221,349,901,342.64/310,547.25
  6. Step 6: Final answer
    x = 712,773.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.