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Finding the Third Proportional to 157,370 and 249,570

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Solution

The third proportional to 157,370 and 249,570 is: 395,788.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,370 : 249,570 = 249,570 : x
  2. Step 2: Convert to fraction form
    157,370/249,570 = 249,570/x
  3. Step 3: Cross multiply
    157,370x = 249,570 × 249,570
  4. Step 4: Simplify right side
    157,370x = 62,285,184,900
  5. Step 5: Solve for x
    x = 62,285,184,900/157,370
  6. Step 6: Final answer
    x = 395,788.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.