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Finding the Third Proportional to 172,136,040 and 258,708,547.50

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Solution

The third proportional to 172,136,040 and 258,708,547.50 is: 388,821,031.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,136,040 : 258,708,547.50 = 258,708,547.50 : x
  2. Step 2: Convert to fraction form
    172,136,040/258,708,547.50 = 258,708,547.50/x
  3. Step 3: Cross multiply
    172,136,040x = 258,708,547.50 × 258,708,547.50
  4. Step 4: Simplify right side
    172,136,040x = 66,930,112,549,559,760
  5. Step 5: Solve for x
    x = 66,930,112,549,559,760/172,136,040
  6. Step 6: Final answer
    x = 388,821,031.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.